{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pyccl as ccl"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We want to compare the matter power spectrum as output manually from class with massive neutrinos nonzero to the power spectrum as output from class via ccl for the same parameters. This is a sanity check."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.046\n"
     ]
    }
   ],
   "source": [
    "OmegaC   = 0.25\n",
    "OmegaB   = 0.05\n",
    "h        = 0.7\n",
    "As       = 2.1*10**(-9)\n",
    "\n",
    "#OmegaL    = [0.7, 0.7, 0.7, 0.65, 0.75]\n",
    "Omegak    = [0., 0., 0.]\n",
    "w0        = [-1., -0.9, -0.9]\n",
    "wa        = [0., 0., 0.1]\n",
    "\n",
    "mnu = [[0.04,0., 0.], [0.05, 0.01, 0.], [0.03, 0.02, 0.04]]\n",
    "#N_nu_mass = [1, 2, 3]\n",
    "#N_nu_rel =[2.0328, 1.0196, 0.00641]\n",
    "Neff = 3.046\n",
    "#Neff = [N_nu_rel[i] + N_nu_mass[i] * 0.71611**4 / ((4. / 11.)**(4./3.)) for i in range(0,3)]\n",
    "print Neff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load class linear and nonlinear power spectra for the 5 different models\n",
    "\n",
    "lin_pk = [0]*3\n",
    "lin_k = [0]*3\n",
    "for mi in range(0,3):\n",
    "    lin_k[mi], lin_pk[mi] = np.loadtxt('./model'+str(mi+1)+'_pk.dat', unpack=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Loop over models\n",
    "pk_ccl_lin = [0]*3\n",
    "for mi in range(0,3):\n",
    "    p = ccl.Cosmology(Omega_c=OmegaC, Omega_b=OmegaB, Neff = Neff, h=h, A_s=As, n_s=0.96, Omega_k=Omegak[mi], w0=w0[mi], wa=wa[mi], m_nu=mnu[mi])\n",
    "    pk_ccl_lin[mi] = ccl.power.linear_matter_power(cosmo, lin_k[mi]*h, 1.) * h**3\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Get the fractional difference between power spectra for each model\n",
    "frac_diff_lin = [0]*3\n",
    "for mi in range(0,3):\n",
    "    frac_diff_lin[mi] = np.abs(pk_ccl_lin[mi] - lin_pk[mi]) / lin_pk[mi]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$P(k)$ [Mpc$^{3}$]',fontsize=22)\n",
    "plt.loglog(lin_k[0], pk_ccl_lin[0], 'm')\n",
    "plt.loglog(lin_k[0], lin_pk[0], 'g')\n",
    "plt.show()\n",
    "\n",
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$\\Delta P(k)/P(k)$',fontsize=22)\n",
    "plt.loglog(lin_k[0], frac_diff_lin[0], 'm')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$P(k)$ [Mpc$^{3}$]',fontsize=22)\n",
    "plt.loglog(lin_k[1], pk_ccl_lin[1], 'm')\n",
    "plt.loglog(lin_k[1], lin_pk[1], 'g')\n",
    "plt.show()\n",
    "\n",
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$\\Delta P(k)/P(k)$',fontsize=22)\n",
    "plt.loglog(lin_k[1], frac_diff_lin[1], 'm')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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yXN/FCv89AfyrqnZlwlCDha3YEsGBAfMHash/9nzMSi8vOakk6nyg3/r99XX5Ei7Ouxa66HuxL+68uqOTLIyiyjy+Hh8Hv3aQqjdXUXlOZU5sSMVRzQBOxSpfFDqWBY/3BccoVj+ob4nIdqyeVC+q6pTe8JPtyhRgtfsAo6gMk4vtZ25PeH7gtQHKTo3vWF20oCihozKKKvs039mMr93Hwi8tzJkNqZRQ6sTK4gt3zhWRGqKd11pgefDYGBwWEJHXVXVlmm3OG7Ld5gNAnAI2o6gMU4PeF3rDJZEiKVqYuKK6WaPKLt4OL03fbGLmv82k/NTynNkxroR4VW3F2vi7OXROROYQr7xOSIONWUVEFgA/weprpViJIW25tCkSEcFebDeKypA3qF8R+zhbbvih+4n4rNniFcUJh8dl/bkDtP6plYr1FThrs7/IP9Vp+kYT/l4/C25dkFM7xp31F4uqHlHV+1T1C6p6sarWAgvSNX8W+RnwRVVdAawHenNsTxy2YptRVIa8IbYE0hbZwmtXvhY3bvYHo+sDFM4rBDu4m+MzWMtPLWf1E6spOTlmbWsgOvS39/q97Lp0F013NE3kLUwrAu4AjV9u5MBXR24q4Wnx0PydZmovq6X0pNIsWZeYtDmqRKjqpPrtEZGVgFdVHwdQ1W5Vzbs8cJvLZhSVIW+IrLkX8FlO68g90Zt1nbOdnPCTEzjpgZMoO91akyqoLKBsTfz6FIAUCpVnV1J1QVXU+VBh1BBdj1i5W54jZgN8KnQ92cXW1Vtp/HwjDTc20Lcjfh0wxIGvHiAwFGDBLQuyZl8yMuqo0omInCsi94nIIRFREdmYYMzVItIgIkMisk1EzhnjbZYAvSLyZxHZLiK3psX4NGMvthMYNIrKkDtCDgmscNyh7x1ii2yJ2t+ngWGHIk4rNDjjohnhvYBSIAkTKQBshcGPpphPKF9v4n1X7oN5930yI6gqQweHRhzj6/PR8WAHPVt7GGoaIuAO4Ovx8fp/vc6L57yIf9DPintXYK+w0/jFxoRzDLw2wOG7DjN74+xwkYFckso+qtuAr6vquMsviEgF8FlVvXG8cwClwE7g58Ej9h6XAXdilW16MvjzARFZoaoHg2N2Jpn7LUH1VwCcB6wGDgN/EpFLVfWPE7A77diKjaIyZJbeF3pRr1J+euIF9EgVpR5l/437gehNuoGhYWcWdjyAOILrWXZLVSUiND527cvf6yfgjv+SNtqH91Sh8+FOdrxpByc/cnKc2gyx71P7OPLDaEUrDkF9yrzr5rHgSwsoKC1gYPcAjV9spHd7b5SyVVX2XrcXW5GNhV/JXaZfJKkkU3wW+M9gW/efhj70UyHYIv5DwDVABTBuR6Wq4eQNEdmUYMj1wCZVvSf4/BoRuQi4CrghOMeJo9ymGdgW6ggsIn/Bclp55ajsxXazRmXIGN3PdLN9/XZsJTbO7Ts34ZhIZxHwBMIKP9JhRKr+kKICsDmCTqhAsJdEt6EPjykKOrbYHI2AlYkmhRJ2luIQ3E1uNKCIbZxJHZOEUMp+462NCR3VUPMQR396lNr31FJ7WS2eFg+eFg++Th+1l9VGffGYd908mr/dTOMXGznpzyeFz7f/pZ2Ov3Ww6FuLKJxdmPk3lQKpOKqzgO8ANwOfF5EtwCPAM8BuoF1VfSLiAKqBFcCZwIXAuVji/Z/Ax9NufRARcWKlyH8z5qWHsBIiUuV5YIaIzAA6sGoZJnRSInIlcCVAfX12i8Tbim34unxZvadhajN0cIhXP/QqK3+zksabGwErwzQZkWopslCs+8BwCO7Al4cX623OeEUlBRLewB5LWFElcDzeY17spXZ8butvoPiEYvpf7sdz1ENhXX58sGaKUI3P7n900/VEV9wG3KZvNqF+ZeFtC3EtiE/7j6SgooB5n5xH4+cb6d3WS9naMvxDfvZet5fi5cXMvWZuxt7HWBl1jUpVn1XV07DKJb0AXAB8GctZHQbcIjIADAWfPxx8/TwsB/UeVT1DVf+ZkXdgMROwAy0x51uw0sxTQlX9WAryMWAH0Ab8JsnYu4FbgBeczuymxRpFZUg3Pc/00PVIF30v9eE5ZiUmJCptFCJSUUXuZRo6MKyoIovKRiqq0GOxJ1dUoXsnSnv3HPNEXVd8QnHcvacqA68PUHpKKY5aBwe+Ep215znm4cjdR5j1/lmjOqkQ8z4+j4LqAhpubgCg+Y5mhvYPsfjOxWHlmw+kbImq/irosE4DvoqlqAaxxHlR8OcA1vrQrcApqrpeVe9Nu9UjmBnzXBKcG3kC1YdUdZWqnqSqH9M8bPxk1qgM6cbbYbVw8LZ7wzX2/N3+pH3PohRVxL6mRKnmQNSHXkqhvwJrzJwr52Avjx6jbo12VMunj6Ma3DNI6cmlzP/kfDof7KTnnz3h15q/3UxgKMBxNxyX8nwF5QXM/9R8Ov7aQevvWznwlQPMvHQm1RuqM2H+uBlPP6qtqnqTqp6tqqVYSQ5zgRJVLVPVN6jqF1X1xbRbm5w2wE+8eqolXmWljVxUTwejqAzpx9dhhdF87b5wWFl9mjS7NEpRRSRWJE0Tj/ikiQr9lYz8EVQ0v4jTXjst7nyoODNYPdrAalUPMNgwSMPnG6KyDqcCvl4fniMeXEtd1F1VR0FVQVhVebu8HPreIWreUUPxsrFl6c392FwKZhSw6127IACL7liUCfMnRMqOSkQKRGSFiKwUkfAuPFUdCG72zVmDJFX1ANuADTEvbQCeztR9c9GPCoyiMqSfsKJq8+Lr9uGosXoO+boTr4UmU1Seo0kcVUQEL+yoRgj9RZIoBBV5nXOWE8QqngpwdNNRDnz5QMI2IZOZ0PspXlpMQVkB866bR/t97fS91Meh7x7C3+On/saxr5cXlBVQ/5l6CMD8z85POWyYTVJyVCJyHZZqeRlr7aYjuNdoaSaNi7GhVERWi8hqLLvrg89D/zN3ABtF5AoRWR7MUqwDfpAtG7OFUVSGdBNSVEONQ6DDfc+SOarY9PTwPF3DTi4ZY3VUketbISKTMOylduxldvw91pe3/h39AAzunZqOKqQg5358LvZyO/s/t5/m/25mxltnULY68b600Zh33TxW/GbFmMKG2WRURyUi78RyAuVY34sEcACXAE+LyGgp3+liHbA9eLiwEhm2Y62HEVwLuw64CatH1tnAxaFU80yQq9CfrdiGejWudI3BMF5Cimpwv/VhWFhvZc/5u/307exji2yh/5X+8PjYrL9ICueNnHkXUkiqmpqjckTKMetHZOjP5rJRUF4QVlShagtTzVENvG41owgV8XVUOpj7sbl0/LUDX4eP+s+NP/vY5rRR+87aqP1u+UQqVl0T/PkLYCVW/b6LgC1Y6eibMmBXHKq6RVUlwbExYsxdqrpAVQtVdW2oFFKmyFXoL9Tqw1SnMKSLkKIa3Gd9uEcqqo6/dQDQ/J3hLL5I5xRyECFGc1RhhaSMukYF0aG/ggprR02kg7MX27GX2/F1+/D1+sLdgwf2TK0uQ4OvD1JYX4jdNfze5103D1uJjcoLKqk4I7tfmLNJKo7qZOB1YKOq7lbVg8HMuAuAvwFrROSMjFqZp+RSUYHpSWVIHyFFFSpFFFJUvm5fuCp57/PD9ZkjFdVQY3S2XSJHFbknK6yQAsNfugBOef6UhLZFpqiHKllEhv5sxTYKKgrw9/jp3zms+qacotozEA77hXDWODnl6VNY8avcdN7NFqk4qjKsag2JUmi+hCXGE29fN2SE0Dcqs05lSBchRRXazBGpqPz91heivhf6UFV8Pb6oBIr2P7dHzVU4d9hRzXr/LOtBRPQuHPoLRIf+yteN3u8o1A04MkQVVlQ9vvD6VPmZ5Qkdlb/fT9fjY2tC7jnmGbF4azZQVQZfG0xYd690VamVUDKFSTUgmazi467gz/lpsGXSkcusPzChP0N6UNWwogoRclT+bn/YUQEc/elRnqx4koHdw2G13q3RnXCcc4c/NBM1QAwrqhRDf5GEKk9ErluF1qj8PX76dvRhL7dTeUElQ41Dceu4h+85zItveJGBvamHBfd9eh8vrH8Bb5d39MEZwtvuxdflw7U0/zLyssGEVs5UNbTbLPfldXNALvdRgQn9GdJDYDCAenS4vh5BVSSWogr0D3/YH/v1MQDa/hjdS7Ro0bBDimxgGLtZF4adjAY0vLE3VZxzrLmjNhAX2YYV1cv9lJxUQvGSYvDHhyVDiqvz750p37P7iW4C/QGObjo6JlvTSTg1fcm0/KhN2VGtEZEPisgpIpJopXRqV4LMM8KKyoT+DGkgpKYinU1BVUE4QcHf548bG6moIMY5RWTkFZQHy4lGhv5Cdf+CYUbXYhfHf/14AE5+9GTWPLkmzsYZl8xgyfeXDN8nMhFQJKyohhqGcC12hTPjYsN/Ibs7H07NUbmPuBlqGAKBw987nLNNxKEaf9NVUaXain4V8KPgY7+I7MHaT7UjI1ZNEkTkEuCSxYsXZ/W+RlEZ0klofap4STEDuwawuWzYnFaCgq/bF5Xw0Lct8VpN5N6p2D1OsUQmUwCcvuf08GtV5yduXXHSfVZ17+Y7rcxDX2d0pqG93I6/149/wE/hvMJw0sHgnkF4izVGVenfbSmqrke7UL8mrCUYSc/TVtBo7sfncujOQ3Q81MGMi2aMeE0mGHh9ACkQihbEh1KnA6koqg8DdwHPYtXyKwCWA5dhFZ9V4HIReU1EfiUinxSR80Rk9JXRSU6us/6MojKkg5BKCn1bD2XWFVQUxK1RxRJaY4pSVBEJEpHhxBCRob+x4phpOURPa3QFjLBy81tllxw1Duxl9ihF5Tnqwd/tp/yscnxdPnq3Ra+tJaL7qW6rL9OXF+KY5eDQdw+N2eZ0MLhnkKKFRXlVKDabpFI9/aeqeo2qnoW16Xcl8AHgv4HHgZ7gPEuAdwO3Y1VW7xSR1zNl+HTGKCpDOgkpqpAKCe1VKqgswNvpHdFRhcY6Zg0rqkgFNpKjGlu5aIuQo/K2RSc2RK6FFc4rRERwLXZFlVEKhf3mfsxqX5HKOlX3092UnVpGQWkBdR+to2NzR3ivWTYZeH1g2ob9YIzJFGqxW1V/qaqfVNXzVbUKy0ldBnwdq81HO1YUOf+qG04BjKIypJOQogot1IcUlaPGgbfVG7VGBcPOR5wSThN31gwrqsjQX9gpJUhPH4+jCn1Yl62LLhUUVlQM7+NyLXUx8NrwWlrIUVWeW0np6tJR16n8g376XuijfL0VHKr7aB1iFw59P7uqSgPK4J7EqenThVRKKJ0tI3VQA1R1n6r+VlVvUNU3q2otcBxwaboMzUdyXZnCKCpDOohTVDGOKjLrD4bDfTanLVxlwlEboahGKYsUumY8oT/XQhenvXYaC78U3SI9pOxg2FGVrCxhqHEorAj7d/djL7fjnOOk6sIqup/uHlEt9m7tRb1KxVlWaL+wrpCZb5/J0R8fzerfnvuwm8BAIG6z73QiFUX1OHBERH4gIheJSEoJGKrapKr3Tcy8/MasURmmAt4OL+IQnHOcVo+oCsvROGuc1v6d3pjEhWCChDglnMEXCslBknBfksoU46F4abGlymzDtoRCfzaXjYJq6yOqZEUJKAy8aimpgVcGKF5ejIhQtaEK9ShdTyTf/Nv9lPUFtPzM4eX2uR+bi6/LR8uvMtY9KI7IqunTlVQc1f9gde+9Evgr0CoivxCRt4vIlPuXE5GTROTFiGNQRP4t13ZFYnPYkAIxisqQFnwdPgqqCxARio4vCm/2ddQ4IADupuj9/iHnYHPawk7HXjasoiLbx1eeV8mcK+aw7EfLhl8vCCqqCfYkPafvHNYfWw8Mh/5C61MAxSusj6dQMd2B3QOULLc6FFWcXYE4ZcTwX8/TPbiWuXDOHA5rVpxdQcmqEg5999CE7U+VcGq6UVTJUdVrVXUBVmff24GjwPuA32I5rT+KyAdEpDKjlmYJVX1ZVVer6mrgHKAf+HuOzYrDVmwzisqQFrwdXhzVliJa8+QaFty8ABhOOfd1+LC5EqScy3C5pJDzicXmsLHsnmVh5wcR6mqCv752lz1cTiykqCLrDLoWuxCHMPDKAN4uL56jnnA3YHuxnYqzK5ImVKgq3U93U7E+OlqYqTNbAAAgAElEQVQiIsz9r7n0v9RP9+PZCfkPvD6Arcg2arHfqcxYWtFvDa5BLcfK/LsZeA34V6wK6i0i8pCI/KeIzMmItdnnX4GHVbV/1JFZxl5sN4rKkBZCigqscF9oDTRyb1TkGlB4DUph2U+WseibiyhbG53cMO/6eVS8IUlIPOTT0ihIIhVVCJvDhmupi/5d/eFEipCjAqi6sIr+Hf14WuKbPQ6+Poiv3Rden4pk1vtn4ah10Hhr44TtTkWVDe4ZxLXEFaVUpxvjSsoPZv59WVVPARYCnwaeBy7A2nPVJCJPBfdUpS3zT0TOFZH7ROSQiKiIbEww5moRaRCRIRHZJiLnTOCWlwH3TuD6jGFzGUVlSA++Tl9YUUUSmckXWreCYUWlqjhnOpn/yflRa1AAi7+1mDVb4itMAOFPnXRWebCX2rEV2Sg6PnpDbMmKEvpfGXZUJSvCzcmp2mBtLu58NF5Vhden1sdvB7UX26n/f/V0PdqVtMCtt9NLyy9bUH/y99h4ayPP1D3DsXuPjeiwBl6Pr5o+3Zjw7jFVPaCqd6jq2Vgdda/C2ke1DvgG8LqIXD/R+wQpBXYC1wJxmxlE5DLgTuA2YA1WG/oHIroAIyI7kxzzY+aqBM4AHkiT7WnFtKM3pAtvhzesqCKJzOQLZQJCROhvnH4mrAzS+D1L7MLqJ1Yz/xPR9bFLVpYwtH+I3hd6kcLoyg5la8ooqCpIGP7rfrqbguoCipclXoav+886nLOdNN7cGPeaqvLq5a+y+/27k6ayD+4b5MBXDuDr9fHKu19h17/vwn00vvZ3wBdgaN/QtE6kgDQ4qkhU9Ziq/lBV3wzUAv8B/Dld91HVzap6o6r+jsS/5tcDm1T1nqDquwY4guU8Q3OcmORoipnr7cADqjpEHmIvtpvq6Ya04OtIrKgiM/kiX5+oowqF/tKdjFC+rjwqRAnBhAqFtj+1UbysOKpkktiFqjdW0flwZ5wtPU/1UH5medJwm90VVFVbuuh8LNrRHbnnCO1/accxy0HD5xpwH4l3QPs+sw9xCKe9chrHf/142je38/yK5zn6i6NRtrgPuFGfTuvNvpBmRxWJqnar6i9U9e2q+s1M3SeEiDiBtcBDMS89BKwfx5SXAb8e4X5XishWEdna2to6juknhlFUhnQQ8ATw9/kTKqrIcj21764NP56oo3LOtkKK1RdVj2+CMRAK9XkOeaLWp0JUX1yNu8lN4y2NYQfhbfcy8OpAwvWpSOZcOQdnnaWqQtcO7B1g7yf2UnVhFWv+sYbAUIB9n9wXdV3nlk7a/tDGcTccR1F9EfWfqWfdi+soPqGYVy9/lZcveZmh5mCX4lD7eRP6mzLMBOxA7AaHFmD2WCYSkZnAakbI9lPVu4FbgBeczuw3LbMX280alWHChIq7OqriFRXA0h8uZfWW1RTOH05SCCVTxKqQ4pXFzLx05qj3LJxTyBlNZ3D8V44fr9kp41riCmckhlLTI5l9+Wxmf3A2B245QMONDVa23zPW+lRsxl8sdped+hvq6X6im85HOgn4Aux+/25shTZO2HQCxcuKqb+hnmP/d4yOv3cAoH5l73V7KawvZN7188JzlZxQwpon1rDovxfR9WgXz698niM/PhKurDHdQ3+pVk+PQkRmAOdjrQPNAiqBTuAY8AKwRVXbk8+QUWK/50mCcyNPoNqG9b7yFqOoDOkgFJYKqZxY6q6sA6DryeGkgWSK6rSdp6V836J52akCbnPacC1xMbB7IKGiEruw7EfLsBXaOPi1gwSGAtiKrH2KZaeWJZgxmjlXzKHp60003txI9Zur6X2ulxW/XhFO26//f/Uc++Ux9vzXHtbtWEfL/7bQ/1I/K369IpxaH2nL/OvmM/OSmbz64Vd57YrXsJXYsFfYozIwpyMpO6pgRYp3AlcDZ2I5gEQBXAVURJ7GygD8nar6EoxLN22An3j1VEu8ykoLqno/cP+6des+kon5R8IoKkMyPMc8tN3XxpwPz4nLxosltJl3tD06kfukwo5qkvz6Fa8oTuqowEruWHLXEsQpNH+7GSkUSteURhXXTYa9yE79jfXsuXoPPc/0UPu+Wmovq416fcn3lrDjzTtouKmBll+0UH5WOTXvqkk6p2uRi9WPrubwDw+z/zP7KV1dOur/41QnJUclIh/AyqSrw3JOLcAzwCtAB1YF9XJgBrACK1vubOAs4HYRuVFV/zft1kegqh4R2QZswNqMHGID8PtM3DNX/ajAKCpDco786AgNn2ug4swKSlbGh7sicTcHHdX8sTuqbFVmmCjlp5bT+VDniOEzEWHxtxdjK7TR9I0mKs5OvSzanA/N4eDXD0IAlnx3Sdzr1W+qpuayGpq/ZfXSOumvJ43qeMQmzL1qLjXvSO7QphOjOioReQ4r1bwF+BbwM1XdlcJ1JwIbgfcCPxORj6nqGRMxVkRKgZBXsAH1IrIa6FDVg8AdwC9E5J/AU8B/YjnXH0zkvskwisqQj/TvtPandz/VPbqjanIjBYJz1sjrrAkV1eTwU8z7xDxmvX9WuNJ7MkSE479+PJXnVUbV9xsNW6GNU546BXEIjsrEIbrFdyym8++d1Ly9hvJ1qc8duZdtOpNKMsV84OPAcar6mVScFICq7lTVT2FVUb8WqB/lklRYB2wPHi6sZIbtwK3Be94LXAfcBLyIpeouVtUDabh3HLmqng7DimqyfKs1ZI/+XcOOajTczW6cdc5RO91GZgBGVqaYDNictvCa0WiICDMunpE0uSQZhXMLo5pHxr1eV8gZDWew9O6lY5rXYJFK6G+Rqo67U5iqeoHvisiPxztHxFxbSLwuFjnmLqy1sYyTa0WFH9Sr4bYJBkPAFwhXC0/JUTW5Rw37weRWVPlCZM8sw9hIpShtlJMKZvyNmYk4u3wl14oKTE8qQzSDewdRj1JyUglD+4YS1rGLxN3sTqnY6WReozJMfsazj+qXabdikpKrflRAOLXVrFMZIhnYZampuo9aaeUjqSpVxd3spmj+6KniRlEZcsl4HNWbROSmVAaKSF7vRZooRlEZ8o3+Xf0gUPveWqRQ6H46+e+mt81LYCiQmqJyGEdlyB3jcVSbgZtF5PyRBonIcuDZcVk1Scipoio2isoQT/+ufooWFuGoclC2royep3qSjk01NR2iFVWoFX1k0VqDIZOMx1FdjtU88ZcikrA0kYicDTxJejL9DAkIt6M3hWkNEfTv7KfkxGAX27Mq6N3Wi38wsepOdbMvxIT+SuwsvccqrWQwZIMxOypV7QDeA9QA/yciUXOIyDuwCsGWY1WxmLLkMvQXUlQm9GcIEfAEGHx9MLx3quKsCtSr9G7tTTh+TIoqIvQnItRdUYdrwfQulGrIHuNtnPgk8AXgDcBXQudF5BNYFccDwKWq+sN0GJmv5DL0F1ZUJvRnCDK4ZxD1adhRhZr+JUuoSHWzLyRvNW8wZINxJ/ar6ldF5Dzg08G6fudjbbZtAd6qqtvSY6IhEUZRGWIJbfQtXmmVCnLOdOJa5kq6TuVuduOc60ypxblxVIZckkoJpYPAP4GtoZ+qGvrNfz9WBYg/YKmz14C3qGpjRqw1hDGKyhBL/85+sEHxCcM17SrOqqDtT21oQOMc0lDTUEqp6WAclSG3pBL6m4fV7fYrWP2ZOkRkt4j8HKu54Hex+kA9CZxpnFR2MIrKEEv/rn5ci13Yi4arflecVYGvwxfuaxSJuym1zb7AtK/ebcgtqYT+ZgCnYtXZCx3Lgsf7gmMUq3Hht0RkO1ZPqhdVNf6vYwqR6+rpYBSVYZj+Xf1xRWhDXWq7n+qOahwY2uxb+O+pOSqDIZekUkKpU1UfUtXbgm3l67GaCr4VqyjsX7HS1ZcDHwTuBJ4AukUkpQK2+YSI/JeI7AwePxGRpE1pcppM4TIbfg3D+If8DO4djHNUrqUuHDMdcetU3lYv6tGUFZXBkEvGlUyhqq1YG383h86JyBzildcJabAxawRb0F8PrATcwH3AW4C/5NKuRNgKbIhTjKIyADD42iD4Ce+hCiEilK8vj8v8G0tqusGQa9JWzldVj2B9sN8XOici89M1f5awYf2bFGF1C3aRoe7A6cBebDeKygDEZ/xFUrG+gvb72vEc84RbUYQ3+xpHZZgEjGsfVaqoalO65hKRc0XkPhE5JCIqIhsTjLlaRBpEZEhEtonIOWO09xjwTeAgVjjzVVV9Pi1vIAPYXDajqAyA5aikQBJ2sS0/K34/VVhRmdCfYRIwqqMSkdtEZEKLMCJSISK3TWQOoBTYidWEMa5liIhchrU+dhuwBngaeEBE6iPG7ExyzA++XgX8C7AAK9vxxOBesbzEtKM3hOjf1Y9riQubM/5PumxdGQXVBey9di/9r1rKa6hpCHHIiM3+DIZ8IRVF9VmgQURujvzQTwURqReRLwL7gc+Mw74wqrpZVW9U1d9hVb6I5Xpgk6reo6q7VfUa4AhwVcQcJyY5QsrvQmCfqnYE+2f9FThtInZnEtOO3hAissZfLPYiOyc/fDIBd4DtZ2+n5589Vmr63MKUNvsaDLkmFUd1FrAXuBnYLyIPi8gNInKeiMwSkQIAEXEEn58vIjeKyKNYDuoLwB5gfabehIg4gbVYNQYjeWiM920CzhSRomC233lYm5gT3fNKEdkqIltbW1vHYfXEsRXbkhYcNUwf/AN+hvYPxWX8RVK2pow1T62hoLyAFy94ke7Hu836lGHSMGoyhao+C5wmIu/FKpF0AVa5pDAi4gYif+tDX9OeBe5U1XvTY25SZmJtOo5NfGjBUkkpoarPisgDwHYs1fYIEckhMWPvFpEjwCVOp3PtuKyeIEZRTV1UFX+fH0+LB0e1A0d18pYaA68OgCZOpIikeHExa55aw46LdtC/o5+Kc7O/rcJgGA8pZ/2p6q+AX4nIOuDfsNTGaqAYK0sOoB9rs+9jwJ9U9cW0WpuCmTHPJcG5kSdQ/RzwuRTH3g/cv27duo+M5R7pwlZsw3N05FbjhslDwBtg19t30fdyH94Wq6khgGuJi9NePS1pmC6U8TeSogpROKeQ1f9Yzev/+To1b69Jn/EGQwYZc3q6qm7FqvsHgIgUAxVAV3BdJxe0YaWTx/bHqiWD6eW5rEwBRlFNNXqf76X9L+1Uv6WakneW4JjlwHPIQ/O3m+l6vIuq86oSXte/sx9xCK7FqbXdcFQ6WPnrlek03WDIKCk7quBa1FIsldKoqv0AwTJJOS2VpKoeEdkGbAB+G/HSBuD3ubEq85isv6lF56OdILD8F8txzLBCff4BP0d+coSWn7Ukd1S7+ik+oRibI6O7TVj5h5XYy5IWajEYMkZKv9kich2WankZ2IFVmPbPIrI0k8bF2FAqIqtFZDWW3fXB56FMxDuAjSJyhYgsF5E7gTrgB5myKZcllMAoqqlG12NdlJ5cGnZSYP0f115Wy7HfHsPX54u7xtvlpfuJbsrWlmXcvppLa6i+sDrj9zEYYkllH9U7sZxAOZaaEsABXAI8LSInZtTCYdZhJTlsx6oYcUvw8a0AwYSN64CbsFqPnA1crKoHMmVQLjv8glFUUwn/kJ/up7qpvKAy7rXZ/zGbQH+Att+3xb126H8O4e/xM/faudkw02DICakoqmuCP3+BVQNvAXARsAWoBjZlwK44VHWLqkqCY2PEmLtUdYGqFqrqWlV9PMM25YWiUh1TvoghD+l5pgd1K5Xnxzuq8vXluBa7OLrpaNR5X6+P5v9uZsbbZlC2OvOKymDIFak4qpOB14GNwY20B4PV1C8A/gasEZEzMmplnpIPigqFgNuE/yY7XY91gR0qz413VCLC7I2z6drSxWDDcL7Soe8dwtfp47jPH5dNUw2GrJOKoyoDtmnir+1fwgoFnptWqyYJ+aCowPSkmgp0PtpplToqT5zfNOsDs0Cg5edWEqu/30/zt5qpvqia8nXl2TTVYMg6qaYJuZOcD/WbmmxV0tNCzhWV6Uk1JfD1+eh9rpeq8xNn9QEU1RdR9cYqjv7sKBpQDv/wMN42r1FThmnBhPJZVTXUjW3kLfFTFKOoDOmg56ke1KcJEykimb1xNkMNQ3Q81MHB2w9S+cZKKtab6hKGqU+q+6jWiMgHgZeAXaoaq7BMZcscEGpHbxTV5Kbz0U7EIeG28cmYeelM7GV2Xr38VbytXhbcuyA7BhoMOSZVR7UK+FHwsV9E9mDtp9qREasmCflQmQIgMGgU1WSm69Euys8oD/9/JsNebKfmXTUc/fFRKs6poPINIyswg2GqkEro78PAXVgFZgewnNty4DLgy1i19C4XkddE5Fci8slgZfUpv8Kb69BfSFGZ0F/+0fPPHp6qeYoX3/giB752gN5tvWggPh/J2+Wl94XeUcN+Ieo+Woc4hQW3LkizxQZD/pJK9fSfAj8FEBEBTgBOiThWY9X6WxI8LgtdKyL7VDVr1SumG6Fv4Cb0l380f7uZwFAAb6uXhhsaaLihgYIZBdR/tp75n5qP9acE3Y93QwCqLkieSBFJ+anlnNN7TsIGiQbDVGVMRWmDKeq7g8cvQ+dFZBHRzmsNVuuNRWmz1BCHUVT5iafNQ+vvW6n7aB1LvrME91E3XY900fLLFvZ/Zj/eNi/Hf+14RITORzuxFdkoPz31AIRxUobpxpirpydCVfcB+4goCBts774mHfMbEmMUVX5ydNNR1KPUfbQOgMLZhcx63yxq31PLno/toen2Jvz9fpZ8Zwldj3VRcXYFtkLjfAyGZKTFUcUSDBGeBFxOksaDU4FcJ1MYRZV/qCpH7j5C+Vnlcf2hxCYs+d4S7CV2mr7ZhPeYl/4d/dTeVpsjaw2GyUFav8aJyGIRuQ2rpfv9wKXpnD8biMinRGSXiOwUkfePNDbXyRTTSVH17ezj5X99md7tveOeQ1Vp/HIjh75/KI2WRdO1pYvBPYNhNRWLiHD87cez4JYFtP62FSBhfT+DwTDMhBVVsHHiu4APAWeFTgd/TqpqqSJyEvBeYC3We9giIn9R1a7cWpaYUGWK6aCo2v7YRvt97XQ80MHC2xYy//r5STveJuPg1w7S+PlGXMtczL0qM9XGD//wMAVVBdS8I3n3XBFhwRcWUFBZQMeDHVlp0WEwTGbGrahEZL2I/Ag4AvwYq62GAn/H+rB/Ni0WZpflwDOqOhTsVvwiVqX4vERsgq1oerT6GNw7iGOWgxlvncH+T+/npQ0v4T6UrLJXPEd+eoSGGxsoqCpgcM9gRv7NPK0e2v7QxqzLZ2F3jd5gcN7H57Hqr6sy3vDQYJjsjOkvRERmi8hnRGQ38ASWiirDqq5+I1Cvqhep6q9JXh9wXIjIuSJyn4gcEhEVkY0JxlwtIg0iMiQi20TknDHe5mXgPBGpFJEq4Hwgrxv92Ipt00JRDe4dpPiEYlb+fiVL71lKz7M9PL/qeXq29ox6bftf23ntI69RtaGKJXctgQD0v9KfdhuPbjqKejVp2M9gMIyPVBon2kXk30TkPuAg8FVgGdAD3A2sV9Xlqvo1VT2cQVtLgZ3AtcBg7IsichlwJ3AbVrbh08ADER2ACa47JTrmA6jqbuDbwKPA74BngPi2qnmEzTX5FFXbn9s4ePvBMV0zuG8Q12IXIkLdFXWs276OwGCAY788NuJ1Pc/1sOuduyhdXcrK36+kbJ0VZuvfkV5HpQEriaLinApKlpeMfoHBYEiZVNaoDgE1WGs2AazQ3ibgjwlq/mUMVd0MbAYQkU0JhlwPbFLVe4LPrxGRi4CrgBuCc4zajTh4/T3B+/wI2Dth4zPIZGxH3/CFBgZ2D1B3dR0FpaP/Cvp6fXhbvLgWu8LnipcWUzi/EPfh5L+C3i4vO/5lB846J6v+uoqCsgLsJXZsJTb6dvSlZKsGlP037KfrH12s+tsqHJWOhOO6HuticO8gx91sqpkbDOkmldBfKHe2GTgvFNrLppMaDRFxYiVAPBTz0kPA+jHOVRv8uQw4DXgwybgrRWSriGxtbW0du9FpYrK1ox9sHKR/Rz/qVasqQwoM7R8CwLXIFXW+sK5wxHWq/h39+Np9LPnOEpyznIC1rld6Uin9L42uqAKeALs/sJum25vofa6X1698PWE35YAvwIGvHKCgeuQkCoPBMD5ScVTNWGpqHlYW3KMicnkw2y9fmAnYgZaY8y3A7DHO9ScReQX4X+CDqpow9Keqd6vqOlVdV1OTuw8ne7F9UhWlbb+/3Xpgh86HO1O6ZnCvFemNVFQAzrlOPIc9Sa8LObGihUVR50tWldC3oy+h0wnh6/Px8iUvc+xXx1j41YUsvG0hrb9t5ehPotvBqyp7r9lL12NdLLp9Efai0ZMoDAbD2EjFUR0HvAVrzcYLnIdV+69FRH4qIudlzLqxE/vJIwnOjTyB6npVXaGqp6rqtpHG5rpxIkw+RdV+XzvFJxRTdX4VnX8fo6NKpKgOu5M6HHez5agK5xZGnS9dVYqvw5fUyXlaPbx0wUt0PtzJsh8v47j/dxz1n62n8o2V7Pn4Hvp3D6uxpm81cfgHh5n/2fnM+fCclN6PwWAYG6M6KrV4UFXfBdQB12G19ygB/gN4RET2i8jNInJ8Zs1NShvgJ1491RKvsqYUk2mNytfto2tLFzPeNoOqDVX07+zHfWT0CPLgvkEcNY64Nu2FcwtRt+LrSJzv4m52Yy+zx11XsspKdki0TqWq7LhoB/0v93PiH09kzocs5yM2YfnPl2MvtvPKu1/BP+Sn9fet7P/0fmreVcPxt+XqV99gmPqMKT1dVTtV9Tuqugar+OxdQCewAPgCsEdEtgSbLLqSz5ReVNUDbAM2xLy0ASv7b8oymRRVx986UJ8y819nUnWhVS2885HRVdXg3sG4sB+As85ad0q2TuU+5KZwXmHc+ZKTLEeVKPNv4NUB+l7oY9E3FzHzbTOjXiusK+SETSfQv6OfV971Crvfv5vyM8s5YdMJY958bDAYUmfcOw1V9UVV/RiWynov8AhWmO1crCaLp6bFwiAiUioiq0VkNZbd9cHnofTzO4CNInKFiCwXkTuDtv0gnXZEkusSSjC5FFXbn9tw1DgoP72c0tWlFMwoSCn8N7hvMC7sB8MhvWSZf+7mxI7KUemgsL4woaLq+FsHADMumZFwzhn/MoO5186l/f52nHVOTvzziSlt7jUYDONnwiWUgmrm18CvRWQe1ibgy4HjSW8JpXXAYxHPbwkePwM2quq9IjIDuAmYg7Xn6mJVPZBGG6LIdVFamDyKKuAN0L65nZq31yB2S31UvbGKzoc7UdVwf6ZY/EN+3E3uERWV51DitSZ3s5uSDYn3NJWuKk2oqDr+1kHximKK6osSXGWx6OuLcMx0MOs9s3DWOJOOMxgM6SGttVtUtVlVb1XVxcCFRPSsSsPcW1RVEhwbI8bcpaoLVLVQVdeq6uPpun8Sm4yiSpHuJ7rxd/uZ8bZhpVK1oQrPYQ8DuweSXjfUMAQan/EHUDgnuaIK+AJ4jnoSKiqw1qkGXh0g4B7+t/MP+On6RxfVF1WP+F5shTYW3LQgocozGAzpJ2NFxlT1UVW9PFPz5wP5kvUXGAwkbHOeT7Td14YUCtUbhp1A6PFI4b/BfVbGX9GieIVjK7ThmOlIuEblbfGCn6SOqnRVKepTBl4ddpJd/+hC3TqqozIYDNnFVMOcAPmiqAACQ/mrqlSV9vvaqbqwCnvJ8HpO0XFFuBa7RtxPlWwPVYhke6lCqenOuYlDc4ky/zoe6MDmslFxTu7+Pw0GQzzGUU2AvFBUwVYf+bxO1b+rn6GGobgsOrDCf11bugh4EzvaoX1D2MvtOGYkLl2UrDpF6FwyReVa4kIKJWqdquNvHVSeX2k27RoMeYZxVBMgrxRVHq9Ttd9nVaOY8db4TLqqDVX4+/z0PJu4CnooNT1ZskXh3MIRFVUyR2UrsFGysiSsqAb3DTK4Z9CE/QyGPMQ4qklOqB19PiuqtvvaKDu1jMK6eKdReX4l2JKXUwpVTU+Gs86Jp8UTp8jczW6kUJIqMYDSk0vpe8lyVB0PWmnpxlEZDPmHcVSTnHxXVL5eH73P9VJ9cWIH4Kh0UHZqWcKEioAvwFDD0IjZdYVzC0HB0xKtqtzNbgrnFiZVYmCtU3lbvHhaPHT8rYOi44tGdIoGgyE3GEc1AfJijSqoqPK1MK37oBWCKz4heQ3jqgur6PlnD77u6FJI7oNu1KejKiqI30uVrCpFJKWrSgHo3dpL56OdVF9UPaJjMxgMucE4qgmQT2tU+Rr6Gzpotegomp98A231m6vBD+2b26POh1LTR3JUyapThBTVSIRKKR36/iEC/QET9jMY8hTjqCY5YUWVp6E/d1MwqWF+cqdRcVYFRQuKOPKjI1Hnk1VNjyS07hWZ+aeqKSkqZ40T5xwnHX/tQBxirZcZDIa8wziqSU6+Kyp3kxtswyG6RIhNmP3h2XQ92hVWUWApKpvLhnNO8msdNQ6kQKIy/7ztXtStozoqGN5PVXFORUrdhg0GQ/YxjmoC5NUaVZ4qqqGmIQrrCrEVjPyrNueDc8BGlKoa3DtI0fFFI1YmF5vgnOOMUlTJ+lAlIrROZcJ+BkP+Mm0dlYjcJyKdIvK7mPMXi8hrIrJHRK4eaQ6zRjU67ib3iGG/EIVzC5nx1hkc+emRcKp5svYeia6NVFSj7aGKpPyMcrBZVdENBkN+Mm0dFfDfWFXew4hIAXAnVkHdk4GPiUhet23Nd0XlPpiaowKY85E5eFu8tP+lHQ0oQ/uHUnJUzrpoRRXKAEzFUc28dCan7zudkhWJq6wbDIbcM20dlao+BvTGnD4NeEVVm1R1APgj8NasGzcGbEX5u+FXVa3suxQdVfVF1TjnOjly9xE8RzwEBgMpVSgvnFsYlfXnbrbWxRyzkm/2DSEiuBaYvVMGQz6Td45KRM4NhuUOiYiKyMYEY64WkQYRGRKRbSJyTppuXwc0RTxvBuamaZxrFMAAABQsSURBVO6MICJWBfU8VFTeNi+BocCIvZ0isRXYmPOhOXQ82EHno9YG4FQVlb/bj7/fctbuZjfOOc5R18UMBsPkIB//kkuxmh5eCwzGvigil2GF524D1mC1mn8gotMvIrIzyTF/lHsnWrXP7/4ZWIVp81FRpZKaHsucD1uR1sYvNgKpOarYvVSppKYbDIbJQ97l46rqZmAzgIhsSjDkemCTqt4TfH6NiFwEXAXcEJzjxHHe/hAQ6czmAY3jnCtrpKN5orfDi/uQm5IVJeEOvBNlPI6q6Lgiqt5UReeDnUiBpJaIEbGXqnhJMe5mN8XLk1fCMBgMk4u8c1QjISJOYC3wzZiXHgLWp+EW/wRWBpVXG3ApVmJFXjOedvR9L/dx8OsHGdxjVQ33dVrli5bevZS6j9Slxa5UqlIkou4jdXQ+2EnRwqKUwnehnlOhzD93s5uqDVVjtNZgMOQr+Rj6G4mZgB1oiTnfAswey0Qi8jDwW+BiEWkWkTNV1Qd8AngEeBn4vqoeTnL9lSKyVUS2tra2jvV9pJWxKipfn4+d/7aT9r+0U1BeQO27a1n0rUU465x0PpS8ieFYcTcFK5jXjJ7UEMmMt83AMctB8bLUVFGkovL1+PD3+k3oz2CYQkwqRRVB7LqRJDg38gSqCZWSqt4P3J/C9XeLyBHgEqfTuXYs9043tmIbA68N0PdyH6UnlY46fv+n9zPUMMTqf6ym8pzhskF9L/XRsbkDVU1LcVZ3k7VWNNKG3UTYHDZOfvjkqG7AI1FQXoC91I7nsGe4YWIKm30NBsPkYLIpqjbAT7x6qiVeZU0bat9Zi7vZzdZVW9l+3naO/e4YAV9ihdXxYAeHf3CYedfPi3JSYPWG8rZ56d/Vn/DaRHg7vAQ8SbrzNg2NOewXovTEUlwLU08bd8619lKNZbOvwWCYHEwqR6WqHmAbsCHmpQ1Y2X/TknnXzuPM5jM5/hvH4z7g5pV3vsJzxz/HsXuPoTosNL2dXl798KsULy9m4ZcXxs1TeZ7luLq2dCW9l6rS91IfjV9uZNtp23hqxlPsvW5vwrGpVqVIB4V11l4q46gMhqlH3jkqESkVkdUishrLvvrg81D6+R3ARhG5QkSWi8idWPuffpBtW/OhhFIIR7WD+k/Vc/re0znx/hNx1Dh45d2v8PLFLzO438ry33vtXjxHPZzw8xOwF8WH1VwLXBQtKErqqAYbBnluyXNsXb2Vxs83gg1cS1x0PR4/Xv3BCubZclRzC/EcGg79jVQE12AwTC7yzlEB64DtwcMF3BJ8fCuAqt4LXAfcBLwInA1crKoHsm1oPhSljUXswsy3zmTtP9ey+M7FdD/ZzfMrn2f3f+ym5RctHHfTcZSvK096feV5lXRt6UID8Ut+h79/GPcBN0vvWcqZR85k7bNrqX1PLQO7B+KyDt1H3OAn5c2+E8VZ57QUVZMbx0xHQkdsMBgmJ3nnqFR1i6pKgmNjxJi7VHWBqhaq6lpVfTxHtuaNoopF7MK8j8/j1N2nUn1xNS0/b6F0bSnHfe64Ea+rPK8SX7svbp1K/UrLL1uofks1dVfUUTjbUkplp5RBAPp29EWNH88eqolQOLcQ9Sj9O/pN2M9gmGLknaOaTOSjooqlaF4RJ/7+RNY8tYZVm1dhc4z8X55snarzsU48hz3M+sCsqPOlp1hZhn0v5NZRhUJ9vdt7w/uqDAbD1MA4qgmQz4oqlor1FThrR/8ALzquiKKFRXQ9Fu2oWn7Rgr3czoy3RrfDKJxX+P/bu/sYOer7juPvz52xDb4Dhxg7GLCtyC2NQsEPF1AeTEwSJ5QGEmhSoDzEVRQUaCMUimja0qgPCkRCSpR/AgJVueJCK0EanhoHlxQbEVPDmZrEoURIYMyDMbaxGz+Dfd/+MbNmvd693b2dnZ1df17Sandn5ub32dXcfW9+85sZjpl2DDufPfz6vp3YowIavmGimXUPFyo7wtTFU9mx6r3jVAd3H2TLj7dw0pdPov/Yw4/9SGJgwcARe1T7Nu6jf7CfCSfkc6pe6aRf8Ig/s17jQtWCbuj6G4+p503lwNsH2L0+OU619YGtjO4e5QNXVb/4x+CCQXav383o/vfOpyoNTc/ixOFGlN+u3if7mvUWF6oWdFPXXzOmfjI9TpV2/7257E0mzZrECYuqf86BBQPEu3GosEG+51AB9E3sO3SpJu9RmfUWFyo7wuRZk5n8weR8qv2b9rP9P7cz48oZNS+FNLhgEOCw41StXJVivEp7Ui5UZr3FhaoFvdr1B0n3345VO9h8z2YY5YjRfuUmf3Ay/Sf0HzpONbp/lHc3v8ukWfkWjNLIPxcqs97iQtWCXu36g/R8qu0H2PjdjQwODTLl96bUXFYSg/MHD+1RHbqMUY5df5CMWJzwvglMGOzWay2bWTUuVFZV6XyqA9sOMOPK2ntTJQMLBtj13C5G3x1l36vjuw9Vq2bfPJszl5+Za5tm1n4uVFbV5FMnJ7eB74fpl0+vu/zgwkFif7DnhT25n0NVMmnmJI4/p/blocysO7mPpAWSLgQunDt3bqejtMWpN5zK/tf3N3SicPkVKg7dEyrnQmVmvcmFqgWlmywODQ19rdNZ2uGUa09peNnjfuc4+qb0sfPZnYzuH00uDHusLwxrZq07arv+JD0kabuk+xuZbmNTvxiYN8DOtTtzP4fKzHrbUVuogO8DVzcx3eoYXDDIrnW72PfKPhcqM8vMUVuoIuJxYGej062+gQUDjO4eZc+v9+R2Hyoz632FK1SSzk27316XFJKWVlnmOkkvS9onaa2kRR2IahVKV6gAD6Qws+wUrlABA8B64Hpgb+VMSZcCPwBuAeYDq4HlZbeqR9L6Go/T8vkIR6fjPnQcmpRcZsmFysyyUrhRfxHxU+CnAJKGqyxyAzAcEXel778h6XzgWuCv0nWckUNUq9B3TB8DZw6w85mdLlRmlpki7lHVJGkisBBYUTFrBfCxnLNcI2lE0siWLVvybLrQSudT+RiVmWWlcHtUdUwD+oHNFdM3A59pZkWSHgPOAqZIeg34ckQ8VWt65c9HxJ2SNgEXTpw4ceE4PktPmnH5DN554x3fE8rMMtNthaokKt6ryrSxVxBRtbDVmm6NmfrJqYfuZ2VmloWu6voDtgIHgcpbzU7nyL2stuvlq6ebmRVFVxWqiHgHWAssqZi1hGT0X656+X5UZmZFUbiuP0kDQOkqr33ALEnzgLcjYiPwPWCZpKeBXwBfB2YCd3Qir5mZtZcimjq003aSFgOPV5n1zxGxNF3mOuAm4GSSc66+GRFP5JWx0tDQUIyMjHSqeTOzriRpbUQM1VuucHtUEbGSZHDEWMv8EPhhLoHG0Ou3+TAzK4KuOkZVNB5MYWbWfi5UZmZWaC5ULfCoPzOz9ivcYIpuJGkLsAMor1gnlL0vva42bRrJ+WHNKF9Po/Mrp4313nlbz1srY73szlt7fiPbgPO2J2+1bFnknR0RJ9VdKiL8yOAB3Fnrfel1jWkjrbbVyPyx8jlv9nlr5amX3Xlrz29kG3De9uStli2rvI083PWXnYfHeP/wGNOyaKuR+WPlq3zvvM3Przet3mvnrT+/kW2g1mvnrT+/0d+5rPPW5a6/DpM0Eg2cR1AUztteztteztte7crrParOu7PTAZrkvO3lvO3lvO3VlrzeozIzs0LzHpWZmRWaC5WZmRWaC5WZmRWaC1UXkbRB0i8lrZNU7QrzhSOpT9Izku7vdJZ6JK2W9Jyk9ZK+3ek8Y5F0mqSVkp5PM1/S6Uz1SHpI0vYibguSLpD0G0kvpndnKLwif5+VWt1ePZiii0jaAJwREbs6naVRkv4MWARMiIgvdTrPWCQdHxG/ldQPPAlcGxHrOp2rGkknAzMiYp2k6SQ3FD09IvZ0OFpNks4DBoCvFGlbkDQB+F/gU8A2YAT4dERs6miwOor6fVbT6vbqPSprm3SDvIQuGWIbEb9NX05MH4UVEZtKRTQi3gK2k1y+prAi4nFgZ6dzVHE28HxEvJr+4fwJ8PkOZ6qrwN/nEVrdXl2oMiDp3HQ3/HVJIWlplWWuk/SypH2S1kpaNI6mAliVdqVd0QV5bwP+Fhgdb9ac8yJpDfAW8Nh496byzJuuawg4Bni1G/JmLYP8Mzn8u3sNOKXgmXOVZd7xbK8uVNkYILnT8PXA3sqZki4FfgDcAswHVgPLJc0qW2Z9jcdpZav6eEQsBC4C/lrS7xc1r6RzgYiI1ePMmGvekog4h+SP1DxJZxQ9r6T3A3cDX43x9+PnlrdNWs1f7Uat7T4m0vJ3nrNM8o57e23HBQSP5gewC1haMW0NcFfFtBeBW1to57bKdoqUF/gW8DqwAXgT2A38U1HzVmnnL4Ebi5wXmAQ8AVzVas68vl9gMXB/VnmzyA98DHiwbN53gK+1K2OW33m7v88s87ayvXqPqs0kTQQWAisqZq0g+QVpdD1TJA2mrwdIDvz+OqucZe1kkjcivhsRp0TEHOAyYHlEfDWzoKkMv9+pkqalrycDnwVeyCpnWTtZ5RUwDPxXRCzLLOCR7WSSt1MazP808GElI9OOBS4G/iO/lIfrtu+8kbytbq8uVO03DegHNldM3wx8oIn1zACelPQc8N/A3RHxTDYRD5NV3rxklfdE4FFJvyQZ9bUqIh7JJuJhssr7ceBS4ItKTldY10JX8Fgy2x4kPQbcB1wg6TVJH80m4pjq5o+IA8A3gZ8DvwJuj4g3cshWS0PfeYe+z2oaydvS9johk5jWiMr+WFWZVvuHI14Czso0UZ0mK943lfewFUWsBFa2mKduMxXvx/P9Lsw0UZ0mK943m/dJ8v1Hs+XtISI+k12cpo2ZPyIeps23qhiHepk7+X1WUzNvq9ur96jabytwkCP/+5zOkf+BFIHztpfz5qsb83db5rbndaFqs4h4h+TktiUVs5aQjIwpFOdtL+fNVzfm77bMeeR1118G0sENc9O3fcAsSfOAtyNiI/A9YJmkp4FfAF8nOXfjDud1XudtTTfm77bMHc+b57DGXn2QDBGNKo/hsmWuIxmqvZ/kv49zndd5nffozN9tmTud19f6MzOzQvMxKjMzKzQXKjMzKzQXKjMzKzQXKjMzKzQXKjMzKzQXKjMzKzQXKjMzKzQXKjMzKzQXKjPLjaS5ku5Ib/NwQNL6Tmey4vO1/swsTx8G/pDkjrB9+J9la4AvoWRmuZHUFxGj6ethYCgizuhsKis6/zdjZrkpFSmzZrhQmY1B0omSQtJrLaxjTrqO8seNVZbbUDb/1jrrvKds2ZXjzVZk6XGs6PXPafX5GJXZ2D6SPj+Twbp2A/enr+sNIrha0s0RcbByhqTjgYszyFN0DwHrSO4c+7kOZ7EOcqEyG9tQ+pxFodoaEUsbWG4kbXcJ8LMq8y8Djk0zfaTK/FxIOgE4uYFFN0bEnmbXHxHfTttZjAvVUc2FymxspUL1dI5tDqftLqV6oVoKHASW0cFCRbJX96MGllsCPNbmLNbDfIzKbGxDJHcyHSmfKOn9kh5Jj52skHRShm2uAZ4HviBpakW7pwMfBR4FNtVaQem4Tvr6Gkn/I2mPpG2S/l1SzZF2kqZIulHSU5J2SNor6SVJ90m6oLRcRAxHhBp4uEhZS1yozGqQNB04FXgxInaUTf8EybGTPwD+Djg/IrZk3PwwMBm4vGL60vS5kT0ZJH0fuB34P+BBYCvJntCa9HNULj+b5DbitwFnAE+lP7eJ5PPe1NzHMGudu/7MajtsIIUkAd8C/hHYBnyujXsLy4BbSQrT7Wn7/cDVwNskAw0uamA91wDnRcQT6ToE3ELyOe6V9LsRsS+d1wf8BDidpDj9aURsL61I0iBwdisfStJxQGmvbDZwvKQvpe+fiYhXWlm/9SbvUZnVduj4VLp39TOSP/Krgfnt7NKKiDfT9s6W9KF08meBmcC9EfFOg6u6vVSk0vUGcDPwEnAa8Edly14EzAc2AJeXF6n0Z3dGxM/H8XHKTQfuSx+L0wyl9+e1uG7rUS5UZrWVCtUASVffEpIusU9FxBs5tD+cPi+teB6mcf9SOSEd8v6v6dvFZbPOT5/viYi9TbTRsIjYMMaxrOF2tGndz4XKrLaF6fN3gBnAxRFxU0QcyKn9h0i6GK+SNA34AvCriFjbxDperjF9Q/p8atm02enzC82ENGs3FyqzKiTNJDlH6AXgSZLflVy7ptLuvXvTHD8CJtHgIIpmmsl4fWaZc6Eyq640kGINyZ7Mb4DrJf1FzjmG0+fPAweAe5r8+Tl1ppd3YZYGMpzeZBtmbeVCZVZd6fjUsxHxNsnQ7M3AbZL+OK8QEfEsyR7dNuC+iHiryVVcUTkhHT14afp2ZdmsR9PnKyVNbrIds7ZxoTKr7lChAoiIl0n2avYCd0s6N68gEbEoIqZFxJ+M48evKz9fKh2e/vfAXOB14Mdlyz5IMmhkDnBPeokkyn52UNKnx5HBrCU+j8qsuoXAKMkfbgAiYkTSZSTnGj0g6RMR8XynAjboLmCVpCdITtpdQNK1txe4onx0X0SMSroEWAFcAiyR9CTJycKnAfNIrtDR6hB1s6Z4j8qsgqRZwEkkV6TYVT4vIh4G/hx4H7BcUiMXZe2kG4BvACcCXyQ5j+kB4JyIWFW5cLrnuAD4G+BFYBHJMbqZwCMkJyGb5cp3+DVrM0lzSIaJvxIRc3JqMwAiQnm0107p1dMfB1ZFxOLOprFOcNefWX6mpbdfB/i3iKh2ZXRLSfoHYBbJ/ajsKOZCZZafKcBX0tfrqX4LD3vPRcBZnQ5hneeuP7Me1Etdf2YuVGZmVmge9WdmZoXmQmVmZoXmQmVmZoXmQmVmZoXmQmVmZoXmQmVmZoXmQmVmZoXmQmVmZoXmQmVmZoXmQmVmZoX2/9cfLM5xZRmzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$P(k)$ [Mpc$^{3}$]',fontsize=22)\n",
    "plt.loglog(lin_k[2], pk_ccl_lin[2], 'm')\n",
    "plt.loglog(lin_k[2], lin_pk[2], 'g')\n",
    "plt.show()\n",
    "\n",
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$\\Delta P(k)/P(k)$',fontsize=22)\n",
    "plt.loglog(lin_k[2], frac_diff_lin[2], 'm')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now do nonlinear case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "nl_pk = [0]*3\n",
    "nl_k = [0]*3\n",
    "for mi in range(0,3):\n",
    "    nl_k[mi], nl_pk[mi] = np.loadtxt('./model'+str(mi+1)+'_nl_pk.dat', unpack=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "pk_ccl_nl = [0]*3\n",
    "for mi in range(0,3):\n",
    "    p = ccl.Cosmology(Omega_c=OmegaC, Omega_b=OmegaB, Neff = Neff, h=h, A_s=As, n_s=0.96, Omega_k=Omegak[mi], w0=w0[mi], wa=wa[mi], m_nu=mnu[mi])\n",
    "    pk_ccl_nl[mi] = ccl.power.nonlin_matter_power(cosmo, nl_k[mi]*h, 1.) * h**3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Get the fractional difference between power spectra for each model\n",
    "frac_diff_nl = [0]*3\n",
    "for mi in range(0,3):\n",
    "    frac_diff_nl[mi] = np.abs(pk_ccl_nl[mi] - nl_pk[mi]) / nl_pk[mi]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$P(k)$ [Mpc$^{3}$]',fontsize=22)\n",
    "plt.loglog(nl_k[0], pk_ccl_nl[0], 'm')\n",
    "plt.loglog(nl_k[0], nl_pk[0], 'g')\n",
    "plt.show()\n",
    "\n",
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$\\Delta P(k)/P(k)$',fontsize=22)\n",
    "plt.loglog(nl_k[0], frac_diff_nl[0], 'm')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LEpFwoCkwPMuqmcCV7m1KAmGqmiQiEcD1wKjz7PNh4GGAatVstvTzOXXyFENGDWF08mjSiqbxuD7Oqy+8SmRUpNPRTABrVrkZr7V+jadmPsWk+Ek8EvcIoRGh1B5XmzI3lmF9z/Usv2o5lXpUosawGhQqWcjpyMYBuZ07sZWX2vX3MKNoIBTYm2X5XuA69/PSwJciUghXD/ULVf3hXDtU1UkishvoEB4ebqMQzuGr6V/R96++bC2xlatPXM34B8ZTr3E9p2OZINHn8j78+s+vPP7L4zQo14Dm1ZoDUOaGMjT7uxlbBm1hx+gdJH2XRK2xtYi+NRoRcTi18ae8TAD8C/C6B232x9XLcULW4ilnlqnqJly9NeMF6xPX03tyb36L+o3KVOaTmE+4+567nY5lgkyIhPDZfz/jssmXcesXt7L4ocVcVPIiAMIiw4gZEUP5u8uzrvs6/r7tb8p0KEOtcbWIqBrhcHLjL3kpYntU9Y+8NpjdqEE/SALSgQpZlpfj7N5Zjqnq98D3cXFx3T3Ilq+cTD7JiyNfZGzKWCgKfaUvgwcPplhkMaejmSBVqkgpZtw1g8snX07Hzzsy/8H5RIb//0PRxZsW59LFl7JzzE42v7iZJfWWUOPVGlR+tDISar2y/C63AztWAts8bHM7kODhPnJFVU8D8UCbLKva4BqlmCc2AfC/ff7Z59R+sTbDM4bTMrklK+9cyfAXh1sBMx6LjY5l2m3TWLVvFQ98+wAZ+u+xWyFhIVTtW5Vmfzcj6qooNvbZyLIrlnF85XGHEht/yVURU9UmqvqSJw2q6ouq2sSTfWRHRCJFpLF7lo0QoJr79ZlRFyOBLiLykIjUFZExQCVgYl7btAmAXRITEmn1VCvuWn8XoRrK9NjpzBw1kzoN6jgdzeQjbWPaMuL6EXy95msGzx2c7TZFqheh4U8NqftZXU5tPcXSpkv559l/SD+R7ue0xl8kv0zlIiKtgDnZrPpAVbu4t+kF9AMq4rqm7ElVnedBmx2ADjExMd03bNiQ190EreNHjzNw1EAmpE0gNCOUJ4o+wYtPvUhEETsfYXxDVek2oxtTVkzh287f0jG24zm3TT2Yyj/9/mHPe3soXK0wMaNiiL7FBn4EEhGJV9U4j/aRX4qYk+Li4nTp0qVOx/CbjIwMPvn4E55NeJbdxXfT/kh73nrkLWLqxDgdzRQAp9JO0WJKC9YlrWNJ9yXUiT5/j//w/w6z4dENJK9KptT1paj1Vi2K1inqp7TmfLxRxHJ0OFFEKohI1UyvRURuFZF+IvJfEcnLAJGgVxDPiSUsS6Bl35bcv/l+IjIi+K7hd/w08icrYMZvIsIi+PqOr4kIi+CWabdwLOX8t2sp2aIkTZc1JWZMDEcXHmVJwyX80/8f0o6n+Smx8aXz9sREpATwBf9/QMQM4G7gB+AaXDNjhAArgJaqWiDPohaEntjRQ0fpP6o/k3UyhdIL8XSJpxnwxAAKRxR2OpopoOZumct1H15Hx9iOTL99eo4OE57ee5pN/TexZ+oewiuHEzMihrJ3lLVDjA7xR0/sBVzXTj0C3A5UB6YDMUAcrpneW+Gaa/BJT4KYwJSRkcH7779P7aG1mRA6gfYn2pPYLZHB/QdbATOOalW9FW+2eZOv13zNa/Nfy9HPhJcPJ3ZKLE3+bEJ4uXAS70xk5XUrSU5M9nFa4ysX6oltBEap6jj366bAEuBhVZ2cabtngHvd9+IqMPL7wI74xfE8+umjLCq1iFqHazHm2jG079De6VjG/B9V5d5v7uWzVZ/xy72/cH3NnM+joOnKrkm72Pz8ZtKPpVP58cpUf6k6YcUL5NkRR/h8YIeInATanhnBJyKFcc0Qf6WqLsy0XWvga1UtkGPN89vhxEMHDtFvZD+mhE6hSGoRni39LP369CM83G6xZgLPidQTXD75cvYc38OKHiuoVLxSrn7+dNJpNg/YzO7JuylctTB1JtWhdNvSPkprMvPH4cTjuOYUPCMVOAKcyLKdHVfKBzIyMpj4zkRqv16byeGT6XiyI2seWcPAZwZaATMBq2ihonxx+xckpyZzz9f3kJ6Ru2vCwqPDqTOpDk3mNyG0aCgJ7RJY02UNqQdTfZTYeNOFithaXOe+AFDVDFUtpapZZ9yoD2z2drhAl59GJy76cxHN+jaj556elE0ty6zLZvHVm19RpXoVp6MZc0Gx0bFMuHECc7fM5eV5L+dpH1FXRtF0eVOqDajG3o/3srie3YAzGFyoiI0kZ8WpNfCt53GCS36YsePAvgN0GdCFK2deycbCG3mtxGskvJFA63Z+u1OOMV5x/yX388AlDzDkjyHM3py3u0aFRoRy8asX03RpU8IrhLP65tWs772e9JM240egsoudvSAYz4mlZ6QzbsI4Xtr2EoeLHOaOE3cw+vHRVKiSdY5kY4LH8dPHafZuMw6fOszKHispV6xcnveVkZLBpgGb2DFyB0XrF6XeZ/WIbGj3wPMmv13sbPKX+XPn07RvU/ok9aHy6crMaTGHz9/43AqYCXqR4ZFMu20ah08d5r5v7jtrouDcCCkcQsyIGBr90ojUpFTim8Wzc9xO7A//wGJFrADZu3sv9/S/h6vnXM3W8K2MLDWSFcNXcHXrq52OZozXNCrfiDHtxjDzn5m8Pt+TWx+6lG5bmmYJzSjVuhQbem9g7QNr7fBiAPGoiIlIexGZLSLXnGeba93bZL0NStALloEd6enpDH9rOLFjYvm88Ofck3IP655Yx5OPP0loaKjT8Yzxuu6Xdqdz/c68MOcF5m+b7/H+wsuF0/D7hlQfUp29H+1lRcsVnNp+ygtJjac8OicmIl8A7YCKqprtJe8iEgnsBmao6j15biyABfI5sTmz5tD7x94klkyk8aHGjL91PFe0vMLpWMb43NGUo1z6zqWkpKew4pEVlClaxiv7TZqRxJp71xBSJIT6X9Wn5FUlvbLfgigQzok1BVaeq4ABuOdTXAFc5mFbJhd2bd/FHf3uoPX81uwttJexZccSPzLeCpgpMEoULsG026axL3kfXb7r4rVzWdE3R3PpoksJiwpj5TUr2f3+bq/s1+SNp0WsIq47NV/IdiDgRw2ISFURmSsiiSKyUkRudTpTbqWlpjFsxDBix8fyVZGv6Hq6K+ufWU/vXr0JCbFToKZgaVqpKcPbDOeH9T8wauEor+23WN1iXLr4Ukq2Lsm6buvY+upWG/DhEE9/q6UAOblIKgoIhjOhacATqloP18z9Y0QkaG489NvPv9GgXwMGHB9A7MlYFrZdyHtD36N0WZtCxxRcvf/Tm06xneg/qz/Ldy/32n4LlSxEw+8bUv7e8mweuJkNj21A062Q+ZunRWwNcJWInLOQuW/nchWw3sO2fE5Vd6vqCvfzfcAhINrZVBe2ffN2bnnmFq5ffD0Hww7yTqV3WDhyIc2ubOZ0NGMcJyJM7jCZssXKcvfXd3MiNeuseXkXUiiE2A9iqfp0VXaN20XinYlkpOR9WL/JPU+L2NdAceB99+TA/yIi4cD7QCTwlYdtXZCItBSRGSKyU0RURLpks00vEdksIqdEJF5EWpxjX3FAIXJ2uNQRp0+fZsgbQ6g3qR4/FPmBh1MfZv1z63m4+8N26NCYTMoULcOHnT5kbdJanvr1Ka/uW0KEmm/WpObwmuyfvp+E9gl2w00/8vQ33XhcPaxOQKKIDBGRu92Pwbh6arcAG4GxHraVE5HAaqAPrtn2/0VEOgNjgKFAE2AB8LOIVMuyXRngQ6CbBuiB7h9n/Ej9/vUZdHIQDU82ZPFNi3nnlXcoWdpGShmTndYXt+bpK57mnfh3+G7td17ff9W+VYn9KJbD8w6zqv0qK2R+4vG0U+4C8C3QGMi6M8E1MvFWVd3iUUO5z3Uc6K2qUzMtWwQkqGr3TMs2ANNV9Tn368LAb8C7qvpRTtry5xD7zRs28/jEx/mhxA+UP16eYfWG8cADD1jPy5gcOJ1+mssnX862I9tI6JmQ69u25MS+aftIvCeRqCuiaPhzQ8Ii7f5k5xIIQ+xR1W24htrfAkwCfnU/JgG3Ak39XcCy4z602RSYmWXVTOBK9zYCTAVmX6iAicjDIrJURJbu37/fB4n/LeVUCgOHDaT+1Pr8WvRXemf0ZsPADXTt2tUKmDE5FB4azqf//ZQTqSd44NsHPJqW6lzKdS5HvU/rceSvI9Yj8wOv/IngPuT2nfsRqKKBUGBvluV7gevcz5sDnYEEEenkXnafqq7KujNVnSQiu4EO4eHhTX2UGYBvv/qWJ/98ki1RW2hxogXj7h9HwyYNfdmkMflWbHQso9uN5pEfHmH0wtE8dYV3z5EBlLvDNfFw4t2JrGq/ynpkPlQQ/4TP7pCnAqjqfFUNUdXGmR5nFbD/25GPb8WyYc0G2j3VjltW38LpkNN8fPHHzBs1zwqYMR7qfmn3/xt2v3LPSp+0Ue6OTD2ym1aRfioYrjIKPl4pYiISLiJ3icg7IvKjiPwgIpPcAzwC5a7PSbiuVct60XU5zu6d5Yiv5k48mXySfq/0o9HHjZhTdA5P8iTrX1rPPffly1m7jPE7EeHdDu9SpmgZ7v3mXk6l+WYexHJ3lKPuh3U5Mu8IiZ0TyUiz4ffe5nERE5ErcY1Q/BjoDrQHbgAeAj4C1ovIVZ624ylVPQ3E47qIObM2uEYpBoQvPv+COi/W4c30N7nyxJWsvHMlIweNpFhkMaejGZOvRBeN5v2b32f1vtW8MPsFn7VT/u7yxLwVw4EZB1j30Do0IyAHPActjw7Sikh9XAMjigKbgM+ALe7V1XGdX4oBfhGRy1T1b0/ay0GeSHd74CrQ1USkMXDQPQBlJPCRiCwG/gR6AJWAiXlpT1W/B76Pi4vrfsGNL2Dt6rU8+t6jzC45m6pUZVqdadxx5x2e7tYYcx7ta7XnkaaPMOKvEdxU+yauru6b2xJV6V2FtANpbHlpC4XKFKLm8Jq4xpEZT3k6i/1XuEYlDgNeUP33UB8RCQGGAAOAr1X1Ng+y5iRPK2BONqs+UNUu7m16Af1wzfu4GnhSVeflsb0OQIeYmJjuGzZsyFPm5OPJvDDiBcaljiNEQ3i8yOO89ORLFClWJE/7M8bkzvHTx2k8sTFpGWkk9EygROESPmlHVdn4+EZ2vr2TGkNrcNFzF/mknWDijSH2nhaxJGC/qta9wHZrgLKqGvBTOOVFXq8T++SjT3h25bPsLL6TtkfaMrb7WGrVreWDhMaY8/lr+19cNeUq7r/kfqZ0nOKzdjRDWXPfGvZ9uo86U+pQsUtFn7UVDALhOrEiwLIcbLcMiPCwrYDj6cCOScsmUSijEN80+IZfRv5iBcwYh1xR9Qqeu+o5pq6Yyrdrv/VZOxIixE6NpdR1pVjffT2Hfj/ks7YKCk97YsuAw6p67QW2mw2UUtUmeW4sgOW1J7Zr+y5KR5cmoki+q+/GBJ0zs3lsP7qd1T1XUz6yvM/aSjuSxrLmy0jZkcKlf15KsfoFc+BWIPTEJgItRaT5uTZwr2sJvONhW/lOpaqVrIAZEyDCQ8P5+NaPOZZyjIe+f8in9wcLiwqj0U+NCC0SSsINCaTsSfFZW/mdR0VMVScBb+Eaffi6iDQSkeLuR0MReQ34GRijqnkaARjIfHWdmDHGGfXK1mNY62H8sP4H3lv+nk/biqgWQcMfG5J6INV1MXSyXQydF54eTvTkU1dVzRfzsPhzAmBjjG9laAbXfXgdi3cuZmWPldQsXdOn7SX9kMTqjqspc1MZGnzTAAkpOEPvA+FwonjwKIhTXhljAlyIhDC101RCQ0J5cMaDPpkkOLPom6KJGe26GHrzwM0+bSs/8vRwYognD2+9CWOM8aZqUdUY1XYU87bO4+3Fb/u8vcq9K1Oxe0W2DdvG3k/zNAtegWWFxAN2TsyY/Ktr4660j2lP/1n92XAgb5MZ5JSIUOvtWkS1jGLtg2s5uvioT9vLT6yIecDXs9gbY5xzZpLg8NBwun7XlfQM3w68CAkPof70+hSuWJjVnVaTstNGLOaEFTFjjDmHyiUqM6bdGP7c/idvLXrL5+2Flw2nwXcNSDuaxupOq0k/aSMWLyRXoxPdFy3nlapqaw9+PmDZ6ERj8i9VpcNnHfh98+/2JcYXAAAgAElEQVSs7LGS2mVq+7zNpO+SWN1pNRW6VKDO+3Xy7WTBfp87UUQycN1AMi+fqKpqaB5+LuBZETMmf9t1bBf1x9enXtl6zOsyj9AQ3/8q2/ziZra+vJVaE2pRuUdln7fnBG8Usbxep7UY173C9njSeLDLNIu901GMMT5UqXgl3mr3Fvd/ez+jF46m75V9fd5m9UHVObbkGBsf30jxJsUpcZlvZtcPdrntiX0CdMI18W8a8AswFZihqmm+CBgMrCdmTP6nqnT8vCO/bfqN5Y8sJzY61udtph5MJb5pPBmpGcQtiyO8XLjP2/Qnv1/srKr3ABVw3UxyKXAT8CWwW0RGu29AGdREZIaIHBKR6U5nMcYEDhHhnZveoUhYEb+MVgQoVLoQ9b+uT9qBNBLvTCQjzbcXXgejXI9OVNVjqjpJVa8EYoE3gBTgcSBeRJaLyOMiEqz3DhsF3O90CGNM4KlYvCJj249l4Y6FjPxrpF/aLN6kOLUn1ubwnMNsHmAzemTl6Ywd61X1OaAacCMwHVdhGwXsFJGPPI/oX6o6BzjmdA5jTGC6u+HddIrtxAtzXmDN/jV+abPCAxWo1LMS29/czr7p+/zSZrDwynViqpqhqj+ramegCvAjUAho643955SItHQfDtwpIioiXbLZppeIbBaRUyISLyIt/JnRGBPcRIQJN06gWHgxunzXhbQM/wwHiBkVQ/HLirOu6zqS1yT7pc1g4LWLnUWkjogMA1bi6pUB+OfPlP8vElgN9AFOZl0pIp2BMcBQoAmwAPhZRKr5M6QxJrhViKzAuBvGsXjnYkYsGOGXNkMKu2b0CCkawt+3/k3asQI7lu5fPCpiIlJCRB4Rkb+AROBZoDDwNtBUVa/2QsYcU9WfVHWAqk4HsjsD+hQwVVXfVdU1qvoYsBvo6c+cxpjg17l+Z26JvYVBcwex/sB6v7QZUSWCetPqcWLDCdZ2XevTG3cGi1wXMXG5XkQ+xVUAJgBxwE/A7UAlVe2jqsu9G9UzIhIONAVmZlk1E7gyD/t7WESWisjS/fv3eyOiMSaIiAjjbhhHkUJF6Dajm89v2XJGqValqPl6TZK+SmL78O1+aTOQ5aqIicirwDZcd2u+E9gM9AOqqGoHVf1KVVO9H9MrooFQIOt9DvbiumwAABGZheuygRtEZIeIXJHdztx3tR4MLAsPz1/XbhhjcqZi8YqMvH4k87fNZ+JS/928vspTVSh7e1k29d/EoTmH/NZuIMrrtFNLcV3kvCg3janqstxs7wkROQ70VtWp7teVgJ1AS1X9X6btBgF3qWqer1y0i52NKbhUlbYft+WvHX+xuudqLip5kV/aTTuWRnyzeNKPpBO3Io7w8sH3x7STd3aOw3Xea0kuHos9CeoFSUA6mXpdbuU4u3eWI3Y/MWOMiDCpwyRUlR4/9vDbeaqw4mHU/7I+aYfTWHPvGjS9YJ4fy20R2+bBw9GDt6p6GogH2mRZ1QbXKEVjjMmT6iWrM6z1MH7Z+AsfJfjv8tjIhpHUersWh2YdYuurW/3WbiDJ1eHEQCcikcCZ2XgXAK8BM4CDqrrNPcT+I6AX8Ceu6bO6AfVVNc/fADucaIzJ0AxaTGnBmv1rWPPoGspHlvdLu6rK2gfWsvfjvVwy6xJKXVvKL+16g5OHEwNVHLDc/SiCa+DFcmAIgKpOA54ABgIrgKuAG/JawOxwojHmjBAJ4b2b3yM5NZneP/f2W7siQq3xtShapyiJdyeSsqdg3RE6XxUxVZ2rqpLNo0umbcaranVVLayqTVV1ngftfa+qD0dFRXklvzEmuMVGxzLo6kFMT5zO12u+9lu7YZFh1PuyHulH0wvc+bHcDrF/SkSu96RB9zVmT3myD2OMCVTPXPkMjSs05tGfHuXQSf8Nf49s4Do/dvj3w2x9peCcH8ttT2w4ruvDPHEX8KaH+wgIdjjRGJNVodBCvH/z++xP3k/fmb6/eWZmFbpWoPz95dkyeAuHZheM68fy1eFEf7PDicaY7DSp2IR+zfsxZcUUZv6TdZIg3xERao+vTdHYgnN+LC8XOx/Hdc1VXkUDxVQ11IN9BAQR6QB0iImJ6b5hwwan4xhjAsiptFM0ntiYU2mnWN1rNZHhkX5r+/jq4yz7zzJKXFGCS2ZegoSK39rODadGJ0YC1T14+O+/pI9ZT8wYcy4RYRG8d/N7bDuyjQG/D/Br25ENIqk1rhaHZx9my8tb/Nq2v4XlcvsaPklhjDH5UPNqzenVrBdvL36bexrew2VVLvNb2xW6VODw3MNsHbKVki1KUqp18Fw/lhv56mJnp9jFzsaYczmacpR64+pRukhp4h+Op1BoIb+1nZ6cTnxcPGmH04hbGUd4ucCaX9EudnaYjU40xlxIicIlGH/jeFbtW8XwBcP92nZosVDqTatH6qFU1nZZi2bkv06LFTEP2DkxY0xO3FznZv5b978M/mMwGw74dxBYZKNIYkbEcPDng+wYvcOvbfuDFTFjjPGDse3HEhEWwSM/POL3OzJX6lWJ6E7RbOq/iWPxx/zatq9ZETPGGD+oWLwib7R5gzlb5jB1xVS/ti0i1HmvDuHlw0m8M5G0Y2l+bd+XrIgZY4yfPHTpQ7So1oK+M/uy93iebmOYZ4VKF6Lup3U5uekkG3rln+tarYh5wAZ2GGNyI0RCeOemd0hOTeaJX5/we/slW5Sk+ovV2fvxXvZ8uMfv7fuCFTEP2MAOY0xu1S1blwFXDeDz1Z/z04af/N7+RQMvIurqKNb3Ws+J9Sf83r63WRHLRERuEJF1IrJBRHo5nccYkz/1v6o/daPr0vPHnhw/fdyvbUuoUPfjuoQUDiHxzkQyUjL82r63WRFzE5EwYAxwHXAJ0FtEKjqbyhiTHxUOK8y7Hd5l25FtvDjnRb+3H1ElgtgpsRxffpxN/Tf5vX1v8riIiUgZEblNRF4VkckiMl1E3nW//q+IlPFGUD/4D5CoqttV9QTwDXCTw5mMMflU82rN6dG0B2MWjWHJziV+bz/65mgqP1aZHaN3cODHA35v31vyVMREJExE7hKR/wF7gWnAc8CDwK1AN/frL4C9IjJPRO5093Z8QkRaisgMEdkpIioiXbLZppeIbBaRUyISLyItMq2uBGzP9HoHUNlXeY0x5rXrXqN8sfJ0/747qempfm//4jcuptglxVjbZS0pu4Lzti25LmIich+wGfgYaA7sB74DhgJPAw+7/x0GzHCvvwr4BNgkIvd6JfnZIoHVQB/gZDa5O+M6XDgUaAIsAH4WkWpnNslmn/lvjhZjTMCIioji7RveZuXelYz8a6Tf2w+NCKX+tPqkn0hnzb1r0PTg+5WX2/uJLQLicPW+PgY+UNW/c/BzDYAuwN1AeWCJql6el8A5zHkc6K2qUzMtWwQkqGr3TMs2ANNV9TkRuRJ4VlU7ute9CmxR1Xcv1J5NAGyM8cQt027h142/8nevv6lRyv83C9k9ZTfrHlxHjVdqcNHzF/mtXScmAK4KPA5cpKr9clLAAFR1tao+DVyEq6dU7QI/4lUiEg40BbLeYnUmcKX7+WKgvohUFZEiwC3Aj+fZ58MislRElu7fv98XsY0xBcRb7d4iNCSU3j/39vuUVOC6bUu5u8qxedBmjiwIrutec1vEaqrqOFXN08FbVU1V1beBmnn5eQ9EA6G4epCZ7QUquLOlAU8CvwOrgAmquutcO1TVSaoap6pxZcuW9U1qY0yBUDWqKkNaDeGnDT/x1Zqv/N6+iFB7Ym0iLoog8a5EUg/5//xcXuWqiKnqv8415XXkYdb9+FHWP3Ek8zL3xcu1VTVGVcdeaGc2Y4cxxlseu+wxGldoTJ9f+nA05ajf2w8rEUa9z+pxetdp1nVf50iPMC88HWL/iVdS+F4SkI6715VJOc7unRljjN+FhYTxzk3vsPvYbgbOHuhIhhL/KUGNoTVI+iqJ3ZN2O5IhtzwtYteLSI4+bREp72Fbeaaqp4F4oE2WVW1wjVLM635t2iljjNf8p/J/6BnXk3FLxrF0lzODxar2rUqptqXY+MRGkv9OdiRDbnhaxH4CBonINefbSETqAgs9bOu8RCRSRBqLSGNc76ua+/WZQSQjgS4i8pCI1BWRMbiuDZvoQZt2ONEY41VDWw+lXLFy9PihB+kZ6X5vX0KEuh/UJbREKIl3JZJ+yv8ZcsPTInY/sAf4RESyHqoDQESuAubj+xGJccBy96MIMNj9fAiAqk4DngAGAitwXbt2g6puzWuD1hMzxnhbVEQUo9uOJn53POOWjHMkQ3j5cGI/iCV5VTKb+gX2tFQeFTFVPQjcBZQFPhORf+1PRG7DNYy9BODTCXVVda6qSjaPLpm2Ga+q1VW1sKo2VdV5nrRpPTFjjC/cUf8O2tZsy8DZA9l5dKcjGcq0K0OVJ6uwc+xOkn5IciRDTng8d6KqzgdeBK4GXj2zXESeBD4HMoBbVPUdT9sKNNYTM8b4gogw/sbxpGak0ueXPo7luHjYxUQ2jmRd13Wk7A7Maam8Mou9qg4DfgOecfdORgIjcE05dbWq/uCNdgKN9cSMMb5ycamLeaHlC3y15it+XH/OeRd8KqRwCHU/q0t6cjpr71+LZgTesPvcTju1DdfMFkvP/KuqR93ryuI611QOV3FcD7RX1S1ezhxwbNopY4wvnE4/TZN3mpB8OpnERxMpWqioIzl2vbuL9Q+v5+I3L6ba094b3uDEtFNVcM1S/yquntdBEVkjIh8CnYG3cc2MMR+4oiAUMGOM8ZXw0HAm3DiBrUe2MuSPIY7lqPhQRaJvjWbzgM0ciz/mWI7s5LYnVgpohmsk4JlHFffqzDtai2tI/XJgGbDCfY+ufEVEOgAdYmJium/YsMHpOMaYfOrB7x7ko4SPWP7IchqUa+BIhtSDqSy9ZCkhRUJouqwpYZGe31nLGz2xXBWxc4Qoy78LW1PgzB2Rz+w8A1ivqvU9aixA2eFEY4wvJZ1IIvbtWOpE1+F/Xf9HiHhlOEOuHf7jMCuuWUGFLhWIfT/W4/05cTjxLKq6X1V/UtUhqnqzqlbGdTPJTrgOO/4KHAI8f8fGGFMARReNZvj1w1mwfQHvLXvPsRwlry7JRc9fxJ4pe9g3bZ9jOTLzuCeW44ZEqqrq9gtvGTzscKIxxl9UlWs+uIaEvQms7b2WcsXKOZIjIzWDFS1XkLwmmbgVcRSpXiTP+wqInlhO5bcCBnadmDHGf0SEiTdN5Pjp4/Sd2dexHCGFQqj7aV3IgDX3rCEjLcOxLJDLIiYiQ0XEo9/YIhIlIkM92YcxxhREsdGxPNv8WT5O+JjZm2c7lqNIjSLUnlib4yuPk5zg7CTBuR2dmA4cAcYAU1R1Wy5+thrwIPAYEKWqng9tCRA2sMMY4y8nU0/ScEJDQkNCSeiRQOGwwo5lSdmTQuEKeW/ficOJzYGNwCBgk4jMEpHnRKSViJQXkTB3sELu19eIyAARmQ1swjU91QbgSk9CG2NMQVWkUBHG3zie9QfW89r81xzN4kkB85Y8DewQkbtxzQgfx9l3S04BMr8zcf+7EBjjnk0+X7CBHcYYp9z11V18veZrVvVcRe0ytZ2OkyeOXycmInG4htK3AhoDmedEScZ1ofMc4FtVXZH3mIHNDicaY/xtz/E91Hm7DpdVvoxf7/0VEbnwDwUYx0cnqupSVR2oqlepaiQQiesasWKqWlxVr1bVl4KpgInIDBE5JCLTnc5ijDHnUiGyAq9e+yq/bfqN6YkF99dVnoqYiISJSD0RqS8ixc4sV9UTqrpbVU96L6LfjcJ1s09jjAloPeN60qRCE5749QmOpQTWnIb+kusiJiJPAEnAKiAB1yTA34lIcB6UzUJV5wAF89tgjAkqoSGhTLhxAruP7WbwH4OdjuOI3F4ndjswEtedmsX9KAR0ABaIiM9mphSRlu5DfTtFREWkSzbb9BKRzSJySkTiRaSFr/IYY0wguKzKZTx06UOMXjiaVXtXOR3H73LbE3vM/e9HQH2gOtAOmAuUBqZ6KVd2IoHVQB/grMOVItIZ1/VrQ4EmwALgZ/f1aWe2WX2OR1Uf5jbGGJ8a1noYJSNK8uhPj+KvqQQDRW6L2CW4bnbZRVXXqOo2VZ2pqtcCvwBNRORyr6cE3JMMD1DV6bhmxc/qKWCqqr7rzvYYsBvomWkfDc7xyHdTYhljCo4yRcvw+nWv879t/+OjhI+cjuNXuS1ixYF4zb7Uv4zr8GJLj1PlkoiE47oFzMwsq2ZiF1YbYwqArk26ckWVK3h65tMcOnnI6Th+k5fRiSnnWP63+18nDs1F47qj9N4sy/cCFXKzIxGZBXwJ3CAiO0TkinNs97CILBWRpfv3789LZmOM8ZoQCWH8jeM5cPIAA2cPdDqO33htFntVPep+WvS8G/pW1h6iZLPs/DtQvU5Vy6pqUVWtoqp/nWO7ScBgYFl4eHje0hpjjBc1rtCY3s16M2HpBJbuKhgTMOSliDURka4icqmIZDdxlhOXjScB6Zzd6yrH2b0zY4zJt4ZcM4TykeXp9WMv0jPSnY7jc3kpYo2AycAS4JiI/C0in4nIc96NlnOqehqIB9pkWdUG1yhFX7Vr9xMzxgSUqIgoRlw/giW7lvDusnedjuNzub0VS1fgUvejEVAs02rN9O8/uIrKmceyTIcb8xZUJBKIcb9cALwGzAAOquo29xD7j4BewJ9AD6AbUF9Vt3rS9nky2QTAxpiAo6q0/rA1K/ascPQu0Bfi6ATA4pptMpb/X9QuxTUJcOZuSead/6OqeZ7VQ0Ra4ZpMOKsPVLWLe5teQD+gIq5ryp5U1Xl5bTOnbAJgY0ygWbN/DY0mNuLeRvcypeMUp+Nky/FZ7LPdoUhN/l3YmuAaPaiqGurVxhxmPTFjTCDrP6s/r//5OvO7zqd5teZOxzlLQBaxbBtxzYjRRFVn+LwxB1hPzBgTiJJPJ1N3XF1KRpRk2SPLCAsJczrSvzh+K5acUtXt+bGAiUgHEZl05MgRp6MYY8xZioUXY0y7Mazat4qxi8Y6Hccn/FLE8isbnWiMCXSdYjtxQ60beHHui+w8utPpOF5nRcwYY/IxEeGtdm+Rmp5K35l9nY7jdVbEPGCHE40xwaBm6Zo8d9VzTPt7GrM2zXI6jlf5ZWBHfmcDO4wxge5U2ikajG9AaEgoCT0SKByW3YRL/hU0AzuMMcY4KyIsgrdveJv1B9Yz4q8RTsfxGitiHrDDicaYYNIuph3/rftfXpn3ClsP+2QiI7+zIuYBG51ojAk2I9uORER4auZTTkfxCitixhhTgFSLqsbzLZ7n6zVfM/OfrPcRDj5WxIwxpoDpe0VfYkrH8NjPj3E6/bTTcTxiRcwYYwqYwmGFeavdW6w/sJ5Rf41yOo5HrIh5wAZ2GGOCVfta7elYpyMvz3uZHUd3OB0nz6yIecAGdhhjgtmotqNI13Senvm001HyzIqYMcYUUDVK1aB/8/5M+3saczZnd7vGwGdFLBMRqSoic0UkUURWisitTmcyxhhf6te8HzVK1qD3z71JTU91Ok6uWRH7tzTgCVWtB7QBxohIUYczGWOMzxQpVITR7UaTuD+Rtxe/7XScXLMilomq7lbVFe7n+4BDuO5KbYwx+VaH2h24odYNDJo7iN3HdjsdJ1eCpoiJSEsRmSEiO0VERaRLNtv0EpHNInJKROJFpIUH7cUBhYDtHsQ2xpiAJyKMaTeGlPQUnp31rNNxciVoihgQCawG+gAns64Ukc7AGGAo0ARYAPwsItUybbP6HI+qWfZVBvgQ6KY2zb8xpgCIKR3DM1c+w0cJHzF/23yn4+RYUN6KRUSOA71VdWqmZYuABFXtnmnZBmC6qj6Xi30XBn4D3lXVj3LyM3YrFmNMfpB8Opm64+pSqkgp4h+OJywkzKft2a1Y3EQkHGgKZJ0IbCZwZS72I8BUYPaFCpiIPCwiS0Vk6f79+3OZ2BhjAk+x8GKMajuKhL0JTFw60ek4OZIvihiuwRehwN4sy/cCFXKxn+ZAZ6CTiKxwPxpmt6GqTgIGA8vCw8PzENkYYwLPrXVvpc3FbRg4eyD7kvc5HeeC8ksROyPrsVHJZtm5f1h1vqqGqGrjTI9V3o1ojDGBS0R4q/1bnEg9wXOzcnwmxjH5pYglAemc3esqx9m9M6+xaaeMMflRbHQsT17+JO+veJ+FOxY6Hee88kURU9XTQDyuC5Qza4NrlKJP2ATAxpj8amDLgVQqXoneP/UmPSPd6TjnFDRFTEQiRaSxiDTGlbua+/WZIfQjgS4i8pCI1BWRMUAlwGdnJ60nZozJr4oXLs6I60cQvzueycsmOx3nnIJmiL2ItAKym6HyA1Xt4t6mF9APqIjrmrInVXWeDzN1ADrExMR037Bhg6+aMcYYR6gq1354LQl7E1jfez1lipbx6v69McQ+aIpYILPrxIwx+dXqfatpPLExD136EBNv8u6BLbtOzGF2TswYk981KNeAxy97nEnxk1i6K/D+WLci5gE7J2aMKQgGXT2IcsXK8djPj5GhGU7H+RcrYsYYY84rKiKK1697nYU7FvLRyhzNxuc3VsQ8YIcTjTEFxX2X3MflVS7n2VnPcuRU4PzOsyLmATucaIwpKEIkhLHtx7IveR9D/hjidJz/Y0XMGGNMjsRViqNbk268tfgt1uxf43QcwIqYR+xwojGmoBnaeiiR4ZH0+aUPgXCJlhUxD9jhRGNMQVO2WFmGtBrCb5t+49u13zodx4qYMcaY3OnZrCcNyjXgqZlPcTL1pKNZrIgZY4zJlbCQMMa2H0taRhobD250NoujrRtjjAlKraq3YuNjGykcVtjRHNYT84AN7DDGFGROFzCwIuYRG9hhjDHOsiJmjDEmaFkRM8YYE7SsiBljjAlaVsSMMcYELStixhhjgpYVMWOMMUFLAmECx2AnIvuBw8CZC8aiLvD8zL/RQFIemsy8z9ysz7r8fK+zZs28LC+5/Zk583MnPusLLTvXe8juM7fP+vzrc/NZB0rm7JYH4/+L58p5rufZZb5IVcvmJvxZVNUeXngAk3L6PNO/Sz1tKzfrsy4/3+usWT3N7c/MTn/WF1p2rvdwjs/cPmsvfdaBkjmvn3Wg/b/o78/6XA87nOg93+fieeZlnraVm/VZl5/vdXZZPcntz8yZnzvxWV9o2bneQzB+PzI/D/TPOlAyZ7c8GP9fzLrM1591tuxwooNEZKmqxjmdI7eCMXcwZobgzG2Z/ScYc3s7s/XEnDXJ6QB5FIy5gzEzBGduy+w/wZjbq5mtJ2aMMSZoWU/MGGNM0LIiZowxJmhZETPGGBO0rIgFCRHZIiIJIrJCROY4nSc3RCRERJaIyHSns+SEiCwQkZUislpEXnQ6T06ISFURmSsiie7stzqdKSdEZIaIHArk74aI3CAi60Rkg4j0cjpPTgTD55pVXr/DNrAjSIjIFqCBqh53OktuicijQAsgTFVvczrPhYhICVU9KiKhwHygp6qucDrX+YhIRaC8qq4QkXJAPFBHVU84HO28ROQaIBJ4IBC/GyISBqwBrgUOAEuB1qq629FgFxDon2t28vodtp6Y8Sn3l/FWgmgosKoedT8Ndz8CnqruPlNoVXUfcAjX9D4BTVXnAMecznEe/wESVXW7+5fpN8BNDme6oCD4XM+S1++wFTEPiUhLd9d9p4ioiHTJZpteIrJZRE6JSLyItMhDUwr84T4sd08Q5X4TeAHICKLMiMgiYB8wy9NemD9zu/cVBxQCtgdLZl/xwvuoxL8/xx1A5QDP7Ahv5s7Nd9iKmOcigdVAH+Bk1pUi0hkYAwwFmgALgJ9FpFqmbVaf41E1066aq2pT4GZggIg0DPTcItISUFVd4GFWv2U+Q1Uvw/XLqrGINAiW3CJSBvgQ6KaenSvwW2Yf8/R9SDb79PU5GI8/e4d4JXeuv8PenIixoD+A40CXLMsWAe9mWbYBGOZBO29mbScQcwP9gZ3AFmAPkAy8F8iZs2nnWeDpQP+s3T9TGJgH3OetvP74rIFWwHRvZvbW+wCuBL7LtO5VoLuvs3rjs/fX5+rN3Hn5DltPzIdEJBxoCszMsmomrv85crqfYiJS3P08EtdJ5r+9lTOb9rySW1VfU9XKqloduBP4WVW7eS1oJl78rEuKSLT7eQRwPbDWWzmzac9buQWYCsxW1Y+8FjD7tryS2Wk5fB+LgfriGjlXBLgF+NF/Kf8tWD/7nOTO63fYiphvRQOhwN4sy/cCFXKxn/LAfBFZCSwEPlTVJd6JmC1v5fYnb2UuDfwqIgm4RqL9oao/eCditryVuznQGegkrsswVnjhkPO5eO37ISKzgC+BG0Rkh4hc4Z2IOXLB96GqacCTwO/AKmCCqu7yY8ascvTZO/y5ZicnufP0HQ7zakxzLlmP60o2y879w6qbgEu8miiHTWd5navc/9qR6lxgrod5ctRUltd5+aybejVRDpvO8jq3uefj/z9KPf5+qOp13ouTZ+d9H6r6PT66jYgHLpQ5ED7X7Jwzd16/w9YT860kIJ2z/zotx9l/kQSSYMwdjJkhOHMHY+bsBOP7CMbM4MPcVsR8SFVP47pgr02WVW1wjcwJSMGYOxgzQ3DmDsbM2QnG9xGMmcG3ue1woofcAy1i3C9DgGoi0hg4qKrbgJHARyKyGPgT6IHr2pOJTuQ9IxhzB2NmCM7cwZg5O8H4PoIxMziY24nhl/npgWsYq2bzmJppm164hpmn4PprpKXlLhiZgzV3MGbOL+8jGDM7mdvmTjTGGBO07JyYMcaYoGVFzBhjTNCyImaMMSZoWREzxhgTtKyIGWOMCVpWxIwxxgQtK2LGGGOClhUxY4wxQcuKmDHGL0QkRkQmum+xkSYiq53OZIKfzZ1ojPGX+sCNuO7wG4L9EW28wKadMsb4hYiEqGqG+/lUIE5VGzibygQ7+0vIGOMXZwqYMd5kRcyYcxCR0ufJ+jMAAAUnSURBVCKiIrLDg31Ud+8j8+PpbLbbkmn9sAvs85NM287Na7ZA5j5vpvn9fRrP2TkxY86tmfvfJV7YVzIw3f38QgMa7heRgaqannWFiJQAbvFCnkA3A1iB607AbR3OYgKYFTFjzi3O/a83iliSqnbJwXZL3e22AX7JZv2dQBF3pmbZrPcLEYkCKuZg022qeiK3+1fVF93ttMKKmDkPK2LGnNuZIrbYj21OdbfbheyLWBcgHfgIB4sYrt7glBxs1waY5eMspgCzc2LGnFscrjvTLs28UETKiMgP7nM1M0WkrBfbXAQkAh1FpGSWdusAVwC/ArvPtYP/1969hFpVxXEc//5qkGQGhRmIjzuIJAhKBZtoaGFZhJVFZfawiYMoggoJatCDauCgoYMGHSotkEor6AFRiiRS2aAIQ/Ax6J1mFN0I8ddgrWOne495jtdzrsd+Hzisvdfee621B/f+WWuvtXfzOVLdXiXpc0l/SNov6XVJR50RKGmipIclbZN0UNKwpN2SNki6tnme7YZtdfBLAIueShCLaEPSFGAasMv2wZb8+ZRnNdcAjwNLbP90gqtvABOA5SPyV9a0kx4Qkp4D1gK/ApuAnyk9qO31PkaeP5Pyyfg1wMXAtnrdd5T7Xd3dbUT0XoYTI9r716QOSQIeAZ4C9gNX97CX8RLwLCVora31nw7cBRygTHpY2kE5q4BFtrfUMgQ8Q7mP9ZIutP1nPXYa8AYwixK47rH9S7MgSZOAeWO5KUlnAs3e3EzgbEk31/1PbO8bS/nx/5SeWER7R56H1V7Zu5QA8DEwu5fDZLa/r/XNk3RRzb4KmAqst/1Xh0WtbQawWq6Bx4DdwHTgppZzlwKzgb3A8tYAVq/9zfYHx3E7raYAG+pvYW1Dc3/RGMuO/6kEsYj2mkHsLMrw4WLKMNsVtr/tQ/2Nmq4ckTbo3MsjM+q0/Vfq7sKWQ0tqus72cBd1dMz23v94dtboRZ1x6ksQi2hvbk2fBs4HbrS92vahPtX/JmXY8k5Jk4HrgS9sf9ZFGXuOkr+3ptNa8mbWdGc3jYwYbwliESNImkpZA7UT2Er5O+nrcFcdMlxf2/ECcAYdTujoppoTXF5E3yWIRYzWnNSxndID+hp4QNJDfW5Ho6bXAYeAdV1eP3SM/NZh0eakilld1hExrhLEIkZrPg/bYfsAZXr5D8AaSbf0qxG2d1B6gvuBDbZ/7LKIFSMz6izHW+vuRy2H3qvpHZImdFlPxLhJEIsY7UgQA7C9h9IbGgZelHR5vxpie4HtybZvP47L721dD1an2D8BXAB8A7zWcu4mygSWIWBdfa0ULddOknTlcbQhoqeyTixitLnAYco/dQBsfyrpNspaqo2S5tv+arwa2KHngc2StlAWLM+hDBcOAytaZyHaPixpGfA+sAxYLGkrZaH0dOBSyptLxjrNPuKESk8sooWkGcB5lDd1/N56zPZbwH3AOcA7kjp5Ae54ehC4HzgXuIGyTmsjcJntzSNPrj3OOcCjwC5gAeWZ4FTgbcoC7IiTSr7sHNFDkoYoU9332R7qU50GsK1+1NdL9S32HwKbbS8c39bEySjDiRH9MVlSo26/arvdG+qjkvQkMIPyPbGIo0oQi+iPicDddftL2n9mJf6xFLhkvBsRJ78MJ0acYk6l4cSIY0kQi4iIgZXZiRERMbASxCIiYmAliEVExMBKEIuIiIGVIBYREQMrQSwiIgZWglhERAysBLGIiBhYCWIRETGwEsQiImJg/Q3lXeetv0KbCgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$P(k)$ [Mpc$^{3}$]',fontsize=22)\n",
    "plt.loglog(nl_k[1], pk_ccl_nl[1], 'm')\n",
    "plt.loglog(nl_k[1], nl_pk[1], 'g')\n",
    "plt.show()\n",
    "\n",
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$\\Delta P(k)/P(k)$',fontsize=22)\n",
    "plt.loglog(nl_k[1], frac_diff_nl[1], 'm')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$P(k)$ [Mpc$^{3}$]',fontsize=22)\n",
    "plt.loglog(nl_k[2], pk_ccl_nl[2], 'm')\n",
    "plt.loglog(nl_k[2], nl_pk[2], 'g')\n",
    "plt.show()\n",
    "\n",
    "plt.figure()\n",
    "plt.xticks(fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xlabel(r'$k$ [Mpc$^{-1}$]',fontsize=22)\n",
    "plt.ylabel(r'$\\Delta P(k)/P(k)$',fontsize=22)\n",
    "plt.loglog(nl_k[2], frac_diff_nl[2], 'm')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
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